Pith Number

pith:I6ULMH4S

pith:2020:I6ULMH4SKQSVOEWPP723PH4GPS

not attested not anchored not stored refs pending

Thermodynamic extremality relations in the massive gravity

Deyou Chen, Jun Tao, Peng Wang

arxiv:2004.10459 v2 · 2020-04-22 · gr-qc · 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{I6ULMH4SKQSVOEWPP723PH4GPS}

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.

Cited by

1 paper in Pith

Universality on thermodynamic relation with corrections in higher-dimensional de Sitter black holes

Receipt and verification

First computed	2026-07-05T02:10:38.127135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47a8b61f9254255712cf7ff5b79f867c883526559f27c89de6c5cd57ee2614d1

Aliases

arxiv: 2004.10459 · arxiv_version: 2004.10459v2 · doi: 10.48550/arxiv.2004.10459 · pith_short_12: I6ULMH4SKQSV · pith_short_16: I6ULMH4SKQSVOEWP · pith_short_8: I6ULMH4S

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/I6ULMH4SKQSVOEWPP723PH4GPS \
  | 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: 47a8b61f9254255712cf7ff5b79f867c883526559f27c89de6c5cd57ee2614d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c63e042fc8e2eb27029a84cb46ba5d552bee7160a9c76d2b71c35a39d02ebdd0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-04-22T09:24:29Z",
    "title_canon_sha256": "f990d4f79f4de91833fcf899f23ba52e844a7c4e4097222de7a22dcb1f57e60e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.10459",
    "kind": "arxiv",
    "version": 2
  }
}