Pith Number

pith:YH5MHO4H

pith:2015:YH5MHO4HHZW4LWOTQAIRCMW3YG

not attested not anchored not stored refs pending

Phase transition of holographic entanglement entropy in massive gravity

Hongbao Zhang, Li-Fang Li, Xiao-Xiong Zeng

arxiv:1511.00383 v4 · 2015-11-02 · 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{YH5MHO4HHZW4LWOTQAIRCMW3YG}

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

2 papers in Pith

Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole

Diagnosing Effective Metal-Insulator and Hawking-Page Transitions: A Mixed-State Entanglement Perspective in Einstein-Born-Infeld-Massive Gravity

Receipt and verification

First computed	2026-05-18T00:56:21.364853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1fac3bb873e6dc5d9d380111132dbc181470b12aca7b253a4b150288fa257d3

Aliases

arxiv: 1511.00383 · arxiv_version: 1511.00383v4 · doi: 10.48550/arxiv.1511.00383 · pith_short_12: YH5MHO4HHZW4 · pith_short_16: YH5MHO4HHZW4LWOT · pith_short_8: YH5MHO4H

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/YH5MHO4HHZW4LWOTQAIRCMW3YG \
  | 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: c1fac3bb873e6dc5d9d380111132dbc181470b12aca7b253a4b150288fa257d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ce7fb8141d1cd68643b4a2d2ca10b285641c1369166fa1d96477be6dbb21b0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-02T05:29:26Z",
    "title_canon_sha256": "49265758f5e397c6999fd0e0b0a098e0180ee3ac98521f296daa8bd71b2c8fde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00383",
    "kind": "arxiv",
    "version": 4
  }
}