Pith Number

pith:JJMP7LOQ

pith:2015:JJMP7LOQM5RQP4AVKNSADIPZ5W

not attested not anchored not stored refs pending

Further Developments of Sinai's Ideas: The Boltzmann-Sinai Hypothesis

Nandor Simanyi

arxiv:1512.08272 v1 · 2015-12-27 · 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{JJMP7LOQM5RQP4AVKNSADIPZ5W}

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	2026-05-18T01:23:42.725250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a58ffadd0676307f015536401a1f9ed96292711f0c6d6f8c4d8eecea7e11d60

Aliases

arxiv: 1512.08272 · arxiv_version: 1512.08272v1 · doi: 10.48550/arxiv.1512.08272 · pith_short_12: JJMP7LOQM5RQ · pith_short_16: JJMP7LOQM5RQP4AV · pith_short_8: JJMP7LOQ

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/JJMP7LOQM5RQP4AVKNSADIPZ5W \
  | 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: 4a58ffadd0676307f015536401a1f9ed96292711f0c6d6f8c4d8eecea7e11d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca9cbd7747794e65d6fe9792096fe1c1f902180907413d0424b1352b9966923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-27T20:16:26Z",
    "title_canon_sha256": "ae52d6c9305f5eb6f5551678039fd2d7cca6bb111ea402302495d8be8c2e134b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08272",
    "kind": "arxiv",
    "version": 1
  }
}