Pith Number

pith:7UMCN5BF

pith:2012:7UMCN5BF3RES6R4CNPDZVC5JC4

not attested not anchored not stored refs pending

Thermodynamics of a Schwarzschild Black Hole in Phantom Cosmology with Entropy Corrections

D. Momeni, Kazuharu Bamba, Mubasher Jamil, Ratbay Myrzakulov

arxiv:1203.2103 v2 · 2012-03-08 · 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{7UMCN5BF3RES6R4CNPDZVC5JC4}

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	2026-05-18T03:51:01.909100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1826f425dc492f47826bc79a8ba91734a067b2891d1de2d1e9075cb11e2fcb

Aliases

arxiv: 1203.2103 · arxiv_version: 1203.2103v2 · doi: 10.48550/arxiv.1203.2103 · pith_short_12: 7UMCN5BF3RES · pith_short_16: 7UMCN5BF3RES6R4C · pith_short_8: 7UMCN5BF

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/7UMCN5BF3RES6R4CNPDZVC5JC4 \
  | 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: fd1826f425dc492f47826bc79a8ba91734a067b2891d1de2d1e9075cb11e2fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26f38fc4a555debdf7a657f435052853669abb08987de5145fe65effd78fbc07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-08T13:35:02Z",
    "title_canon_sha256": "4f82bdb3b6895dc8cb2f52f1b42f461e94c015b668230cd20b910587d7ff8138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2103",
    "kind": "arxiv",
    "version": 2
  }
}