Pith Number

pith:BS4OO5ZH

pith:2013:BS4OO5ZH5Q3KEDQLP3DGC74HHT

not attested not anchored not stored refs pending

Stochastic conservation laws: weak-in-time formulation and strong entropy condition

Ananta K. Majee, Imran H. Biswas

arxiv:1305.7087 v2 · 2013-05-30 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BS4OO5ZH5Q3KEDQLP3DGC74HHT}

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	2026-05-18T02:44:08.542521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb8e77727ec36a20e0b7ec6617f873cf936b8263b1172dab89c80276b7eff6b

Aliases

arxiv: 1305.7087 · arxiv_version: 1305.7087v2 · doi: 10.48550/arxiv.1305.7087 · pith_short_12: BS4OO5ZH5Q3K · pith_short_16: BS4OO5ZH5Q3KEDQL · pith_short_8: BS4OO5ZH

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/BS4OO5ZH5Q3KEDQLP3DGC74HHT \
  | 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: 0cb8e77727ec36a20e0b7ec6617f873cf936b8263b1172dab89c80276b7eff6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30581d6c4d066df13ed793ab6efc3c5fe2baf14f5d0e6d2d6951c5951d3a40ef",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-30T12:50:21Z",
    "title_canon_sha256": "1a3afd261e15a10e5f1350b366b9d8e76a8b77f3f76def6bef3df9f1f58e3515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7087",
    "kind": "arxiv",
    "version": 2
  }
}