Pith Number

pith:SYYFWMXZ

pith:2013:SYYFWMXZBBUAHTK4Q4KJAUOFLW

not attested not anchored not stored refs pending

Thermodynamics in Closed Universe with Entropy Corrections

Abdul Jawad, M. Sharif

arxiv:1303.7391 v1 · 2013-03-26 · 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{SYYFWMXZBBUAHTK4Q4KJAUOFLW}

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	2026-05-18T01:50:51.084219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96305b32f9086803cd5c87149051c55da50636524ec155f9bf0fa3c93770bcce

Aliases

arxiv: 1303.7391 · arxiv_version: 1303.7391v1 · doi: 10.48550/arxiv.1303.7391 · pith_short_12: SYYFWMXZBBUA · pith_short_16: SYYFWMXZBBUAHTK4 · pith_short_8: SYYFWMXZ

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/SYYFWMXZBBUAHTK4Q4KJAUOFLW \
  | 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: 96305b32f9086803cd5c87149051c55da50636524ec155f9bf0fa3c93770bcce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4558dbba27c891ada15728eccb92e20014971e86640e4cec08458ac256d62d4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-03-26T05:17:27Z",
    "title_canon_sha256": "012012187bab9d6fc06e7bec38464ca7bdaf8694c51d349409ecfb7b1ba076ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7391",
    "kind": "arxiv",
    "version": 1
  }
}