Pith Number

pith:JZOMJI5X

pith:2021:JZOMJI5XS4FEECROYV4U5SID7W

not attested not anchored not stored refs pending

Critical gravitational collapse of a non-minimally coupled scalar field

Erik Jim\'enez-V\'azquez, Miguel Alcubierre

arxiv:2112.04065 v1 · 2021-12-08 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZOMJI5XS4FEECROYV4U5SID7W}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-05T04:13:47.295581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e5cc4a3b7970a420a2ec5794ec903fdb481880a67f69fbe86529e38b8333a4e

Aliases

arxiv: 2112.04065 · arxiv_version: 2112.04065v1 · doi: 10.48550/arxiv.2112.04065 · pith_short_12: JZOMJI5XS4FE · pith_short_16: JZOMJI5XS4FEECRO · pith_short_8: JZOMJI5X

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/JZOMJI5XS4FEECROYV4U5SID7W \
  | 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: 4e5cc4a3b7970a420a2ec5794ec903fdb481880a67f69fbe86529e38b8333a4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6fb1adb954edfe630a236dd4c91d4ea93bd0149a08a24254d986102b43df585",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-08T01:07:45Z",
    "title_canon_sha256": "092c9cd7b3c6da9d26fe40ce53dd4726aa375afb2733f166b8cc403e7c5b0fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.04065",
    "kind": "arxiv",
    "version": 1
  }
}