Pith Number

pith:NUODW4WS

pith:2016:NUODW4WSGJSF3TVS2A2A6662OE

not attested not anchored not stored refs pending

Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow

Hui-Ling Li, Shu-Zheng Yang, Xiao-Tao Zu, Zhong-Wen Feng

arxiv:1608.06824 v2 · 2016-08-22 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUODW4WSGJSF3TVS2A2A6662OE}

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	2026-05-18T01:01:22.353515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d1c3b72d232645dceb2d0340f7bda71095008a4debab58e9ca4851ffa293ac5

Aliases

arxiv: 1608.06824 · arxiv_version: 1608.06824v2 · doi: 10.48550/arxiv.1608.06824 · pith_short_12: NUODW4WSGJSF · pith_short_16: NUODW4WSGJSF3TVS · pith_short_8: NUODW4WS

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/NUODW4WSGJSF3TVS2A2A6662OE \
  | 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: 6d1c3b72d232645dceb2d0340f7bda71095008a4debab58e9ca4851ffa293ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4d73abc259faece093b517562a0ccd36af92a8dc64a0b7d26e98a96992bb18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2016-08-22T13:47:41Z",
    "title_canon_sha256": "bd050544c4db7e7497623eabd33bfa2d29e8b01cfed41430ab0748e9c67534a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06824",
    "kind": "arxiv",
    "version": 2
  }
}