Pith Number

pith:GTFLCG7X

pith:2013:GTFLCG7XDFBZ6KKAZKRNJECYRW

not attested not anchored not stored refs pending

The imaginary part of the gravity action and black hole entropy

Yasha Neiman

arxiv:1301.7041 v3 · 2013-01-29 · 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{GTFLCG7XDFBZ6KKAZKRNJECYRW}

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

1 paper in Pith

How to tame your (black hole) saddles: Lessons from the Lorentzian Gravitational Path Integral

Receipt and verification

First computed	2026-05-18T03:05:01.550629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34cab11bf719439f2940caa2d490588da2d287086d26ef57af84c6f6f71e881b

Aliases

arxiv: 1301.7041 · arxiv_version: 1301.7041v3 · doi: 10.48550/arxiv.1301.7041 · pith_short_12: GTFLCG7XDFBZ · pith_short_16: GTFLCG7XDFBZ6KKA · pith_short_8: GTFLCG7X

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/GTFLCG7XDFBZ6KKAZKRNJECYRW \
  | 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: 34cab11bf719439f2940caa2d490588da2d287086d26ef57af84c6f6f71e881b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "084aa31418c3d097cb459a79fe996c2c1cc5deb27a40656f34f3876a205c323e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-01-29T20:03:06Z",
    "title_canon_sha256": "503749ea663cebd0515d789c4f7419ac5a24b48f5100272e60eae23cf5327609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7041",
    "kind": "arxiv",
    "version": 3
  }
}