Pith Number

pith:5ZANXNX3

pith:2002:5ZANXNX3GQFO5YIF53ZL53DNBJ

not attested not anchored not stored refs pending

Isoperimetric inequality for higher-dimensional black holes

Daisuke Ida, Ken-ichi Nakao

arxiv:gr-qc/0204082 v1 · 2002-04-26 · 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{5ZANXNX3GQFO5YIF53ZL53DNBJ}

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	2026-07-04T16:33:43.532754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee40dbb6fb340aeee105eef2beec6d0a72db703632726d448e89799b74adf901

Aliases

arxiv: gr-qc/0204082 · arxiv_version: gr-qc/0204082v1 · doi: 10.48550/arxiv.gr-qc/0204082 · pith_short_12: 5ZANXNX3GQFO · pith_short_16: 5ZANXNX3GQFO5YIF · pith_short_8: 5ZANXNX3

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/5ZANXNX3GQFO5YIF53ZL53DNBJ \
  | 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: ee40dbb6fb340aeee105eef2beec6d0a72db703632726d448e89799b74adf901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feefd1b9cb0a7698dcb5bc90b711482a3c12d76762df8759ab7235b4d7c2dee9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-04-26T22:32:11Z",
    "title_canon_sha256": "8caf6fef10300815f04552b02381befab1e901a341597e2a7762fd23078a695a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0204082",
    "kind": "arxiv",
    "version": 1
  }
}