Pith Number

pith:JG7LENSU

pith:2016:JG7LENSU36RSSBAULXYVFICJS5

not attested not anchored not stored refs pending

The thermodynamic relationship between the RN-AdS black holes and the RN black hole in canonical ensemble

Jian Liu, Li-Chun Zhang, Ren Zhao, Shuo Cao, Yu-Bo Ma

arxiv:1612.03518 v2 · 2016-12-12 · 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{JG7LENSU36RSSBAULXYVFICJS5}

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	2026-05-18T00:26:46.685144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49beb23654dfa32904145df152a04997413be1c8b9282f2350634b53eb629f84

Aliases

arxiv: 1612.03518 · arxiv_version: 1612.03518v2 · doi: 10.48550/arxiv.1612.03518 · pith_short_12: JG7LENSU36RS · pith_short_16: JG7LENSU36RSSBAU · pith_short_8: JG7LENSU

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/JG7LENSU36RSSBAULXYVFICJS5 \
  | 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: 49beb23654dfa32904145df152a04997413be1c8b9282f2350634b53eb629f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9458439fa9fe55f0cf3e0893fafa5243fbca2df9f0cf0be03e45c7ae628656f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-12T02:24:22Z",
    "title_canon_sha256": "4491ebf950e00bcb2d6ac3fd1a0d594ee4cdb3ac01f4513b0ebb93d08372d229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03518",
    "kind": "arxiv",
    "version": 2
  }
}