Pith Number

pith:BCQ253GL

pith:1998:BCQ253GLUJRNVMIZIHBILM4CYG

not attested not anchored not stored refs pending

Some Comments on Gravitational Entropy and the Inverse Mean Curvature Flow

G W Gibbons

arxiv:hep-th/9809167 v1 · 1998-09-22 · 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{BCQ253GLUJRNVMIZIHBILM4CYG}

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

Positivity of holographic energy

Receipt and verification

First computed	2026-07-04T15:53:54.157117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a1aeeccba262dab11941c285b382c18fdc685247788d5bebad7e2fd11acfd4

Aliases

arxiv: hep-th/9809167 · arxiv_version: hep-th/9809167v1 · doi: 10.48550/arxiv.hep-th/9809167 · pith_short_12: BCQ253GLUJRN · pith_short_16: BCQ253GLUJRNVMIZ · pith_short_8: BCQ253GL

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/BCQ253GLUJRNVMIZIHBILM4CYG \
  | 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: 08a1aeeccba262dab11941c285b382c18fdc685247788d5bebad7e2fd11acfd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9be66122e4e6682460cae9a02e03f700d5383bb41e34974d9509f7098c448f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-09-22T13:14:50Z",
    "title_canon_sha256": "1e2e200dec72a114037585aa8deabdb0c2bdf00c83805f2c32ee402f87a41e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9809167",
    "kind": "arxiv",
    "version": 1
  }
}