Pith Number

pith:6TRZ74R5

pith:1995:6TRZ74R57XIO3643GMKABFH47F

not attested not anchored not stored refs pending

Energy extremality in the presence of a black hole

Madhavan Varadarajan, Rafael D. Sorkin

arxiv:gr-qc/9510031 v1 · 1995-10-17 · 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{6TRZ74R57XIO3643GMKABFH47F}

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

The entropy of black hole under second-order deviation from equilibrium

Receipt and verification

First computed	2026-07-04T15:58:50.994988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e39ff23dfdd0edfb9b33140094fcf9597d424ab776fe476487d7decb4cef12

Aliases

arxiv: gr-qc/9510031 · arxiv_version: gr-qc/9510031v1 · doi: 10.48550/arxiv.gr-qc/9510031 · pith_short_12: 6TRZ74R57XIO · pith_short_16: 6TRZ74R57XIO3643 · pith_short_8: 6TRZ74R5

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/6TRZ74R57XIO3643GMKABFH47F \
  | 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: f4e39ff23dfdd0edfb9b33140094fcf9597d424ab776fe476487d7decb4cef12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1533b9a236cf24981d64a3a985a043c60e8febd23fc9107db99a9a5e460a26a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1995-10-17T05:29:34Z",
    "title_canon_sha256": "6312b44ececc271c41c2583ac8a08ad49de08ad04890ee1dece4557dfb92a1b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9510031",
    "kind": "arxiv",
    "version": 1
  }
}