Pith Number

pith:6ZUL3DY5

pith:2026:6ZUL3DY5LMU62TMR7RXTPVAWVB

not attested not anchored not stored refs pending

Invariance Entropy in the Dust

Senhan Yao

arxiv:2607.02279 v1 · 2026-07-02 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZUL3DY5LMU62TMR7RXTPVAWVB}

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	2026-07-03T01:17:47.375739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f668bd8f1d5b29ed4d91fc6f37d416a86b314abab9de2ddbf19c74c49ff6183a

Aliases

arxiv: 2607.02279 · arxiv_version: 2607.02279v1 · doi: 10.48550/arxiv.2607.02279 · pith_short_12: 6ZUL3DY5LMU6 · pith_short_16: 6ZUL3DY5LMU62TMR · pith_short_8: 6ZUL3DY5

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/6ZUL3DY5LMU62TMR7RXTPVAWVB \
  | 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: f668bd8f1d5b29ed4d91fc6f37d416a86b314abab9de2ddbf19c74c49ff6183a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36ec3240e8694298cc0d9ea085c35b20ab639fd68bf7a11c2cd0e7c20de1161f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-02T15:00:02Z",
    "title_canon_sha256": "5b1d450347eec6dfa9087fe944e06cf7a95562742699dd0e8c24a9cd13422c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02279",
    "kind": "arxiv",
    "version": 1
  }
}