Pith Number

pith:LK5FFD47

pith:2010:LK5FFD47EQF4STMYMKBWFZXURG

not attested not anchored not stored refs pending

Thermodynamics of apparent horizon and modified Friedman equations

Ahmad Sheykhi

arxiv:1012.0383 v1 · 2010-12-02 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LK5FFD47EQF4STMYMKBWFZXURG}

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	2026-05-18T04:29:53.302705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aba528f9f240bc94d98628362e6f489931797eb0abe05e51dd72f6bac122706

Aliases

arxiv: 1012.0383 · arxiv_version: 1012.0383v1 · doi: 10.48550/arxiv.1012.0383 · pith_short_12: LK5FFD47EQF4 · pith_short_16: LK5FFD47EQF4STMY · pith_short_8: LK5FFD47

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/LK5FFD47EQF4STMYMKBWFZXURG \
  | 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: 5aba528f9f240bc94d98628362e6f489931797eb0abe05e51dd72f6bac122706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "876420a55bc67259a302b5a9e30ad42c329a74e8abf3c37e4767ffb117e61a17",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-02T03:43:55Z",
    "title_canon_sha256": "b4eb737be2762a2302998cb5c2798526d8f7bd3f4b44be755b079068c0035c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0383",
    "kind": "arxiv",
    "version": 1
  }
}