Pith Number

pith:5KH5ZGS6

pith:2019:5KH5ZGS66ECHUHWFY4WUETI4YG

not attested not anchored not stored refs pending

Horizon Molecules in Causal Set Theory

Andrew Counsell, Christopher Barton, Dewi S. W. Gould, Fay Dowker, Gwylim Taylor, Ian Jubb

arxiv:1909.08620 v1 · 2019-09-18 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KH5ZGS66ECHUHWFY4WUETI4YG}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Towards black-hole horizons and geodesic focusing in causal sets

Receipt and verification

First computed	2026-07-05T00:25:16.474964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea8fdc9a5ef1047a1ec5c72d424d1cc1acbc6526cb1483705b006ed7d3fe08ed

Aliases

arxiv: 1909.08620 · arxiv_version: 1909.08620v1 · doi: 10.48550/arxiv.1909.08620 · pith_short_12: 5KH5ZGS66ECH · pith_short_16: 5KH5ZGS66ECHUHWF · pith_short_8: 5KH5ZGS6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5KH5ZGS66ECHUHWFY4WUETI4YG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ea8fdc9a5ef1047a1ec5c72d424d1cc1acbc6526cb1483705b006ed7d3fe08ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aefbfa50ce52fbdd44b53a076ffc36495c0640be5925963bca9506fd4fd6751",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-09-18T18:00:00Z",
    "title_canon_sha256": "50ff5128aa33995d60597c3f7cfb00315aa20c0c60450deb70499e4ba38130c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.08620",
    "kind": "arxiv",
    "version": 1
  }
}