Pith Number

pith:AJI46QV6

pith:2014:AJI46QV6GBVF263MHHJDXYQPWI

not attested not anchored not stored refs pending

Thermodynamics of Lifshitz Black Holes

Hai-Shan Liu, H. Lu

arxiv:1410.6181 v1 · 2014-10-22 · 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{AJI46QV6GBVF263MHHJDXYQPWI}

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

Revisiting black holes and their thermodynamics in Einstein-Kalb-Ramond gravity

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T01:41:40.782688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0251cf42be306a5d7b6c39d23be20fb200957d9ce6a54d21bbd9f24cf2dc8468

Aliases

arxiv: 1410.6181 · arxiv_version: 1410.6181v1 · doi: 10.48550/arxiv.1410.6181 · pith_short_12: AJI46QV6GBVF · pith_short_16: AJI46QV6GBVF263M · pith_short_8: AJI46QV6

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/AJI46QV6GBVF263MHHJDXYQPWI \
  | 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: 0251cf42be306a5d7b6c39d23be20fb200957d9ce6a54d21bbd9f24cf2dc8468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df7a53603d881a06c5b26c3648a01ade953077c8673ee4abfe1ad5ed08727b54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-10-22T20:26:11Z",
    "title_canon_sha256": "6d5e61ecfcca0a0614e50ea908b7ef5485873b3e1dac9fb9043f86da388c2dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6181",
    "kind": "arxiv",
    "version": 1
  }
}