Pith Number

pith:ENLJSNYP

pith:2021:ENLJSNYPAOVPBF43PH47X6G42E

not attested not anchored not stored refs pending

Thermodynamics of $d$-dimensional Schwarzschild black holes in the canonical ensemble

Jos\'e P. S. Lemos, Rui Andr\'e

arxiv:2101.11010 v2 · 2021-01-26 · hep-th · cond-mat.stat-mech · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENLJSNYPAOVPBF43PH47X6G42E}

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

4 papers in Pith

Black hole equations of state and response functions

As Cold as a Black Hole: Extended Photon Spheres

On Black Holes Surrounded by Radiation II: Thermodynamics

Holographic pressure and volume for black holes

Receipt and verification

First computed	2026-07-05T02:33:07.424482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

235699370f03aaf0979b79f9fbf8dcd135f788160068eb774d77eaaa5f36ff12

Aliases

arxiv: 2101.11010 · arxiv_version: 2101.11010v2 · doi: 10.48550/arxiv.2101.11010 · pith_short_12: ENLJSNYPAOVP · pith_short_16: ENLJSNYPAOVPBF43 · pith_short_8: ENLJSNYP

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/ENLJSNYPAOVPBF43PH47X6G42E \
  | 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: 235699370f03aaf0979b79f9fbf8dcd135f788160068eb774d77eaaa5f36ff12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0858d169ca45337a4cb80594780fd71bcea3e60108ea23f1029e1508e3df8283",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-01-26T19:00:00Z",
    "title_canon_sha256": "43f5310d3cb0c44c2e4c37f61ff1ae0cb483b1f1557cd3a39ba343b6a959d4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.11010",
    "kind": "arxiv",
    "version": 2
  }
}