Pith Number

pith:2OKQACPA

pith:2019:2OKQACPAGTMGUJVWFZTIELRMK2

not attested not anchored not stored refs pending

The influence of gravity on the Boltzmann entropy of a closed universe

Michael K.-H. Kiessling

arxiv:1905.12727 v2 · 2019-04-26 · physics.hist-ph · gr-qc · math-ph · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OKQACPAGTMGUJVWFZTIELRMK2}

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	2026-05-17T23:43:49.203493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3950009e034d86a26b62e66822e2c56bd26fe9ef7c430f87984774fed3eb808

Aliases

arxiv: 1905.12727 · arxiv_version: 1905.12727v2 · doi: 10.48550/arxiv.1905.12727 · pith_short_12: 2OKQACPAGTMG · pith_short_16: 2OKQACPAGTMGUJVW · pith_short_8: 2OKQACPA

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/2OKQACPAGTMGUJVWFZTIELRMK2 \
  | 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: d3950009e034d86a26b62e66822e2c56bd26fe9ef7c430f87984774fed3eb808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d213a123d4ae3ba53e0e8a814dcfe43fa567ea1de30ec8b20ab84fa5377263",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2019-04-26T20:34:16Z",
    "title_canon_sha256": "6fe4e7427190f747bfe5a6f5da738153cf0ec603c7a31a2589bc017fe6208d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12727",
    "kind": "arxiv",
    "version": 2
  }
}