Pith Number

pith:GFVV4YOI

pith:2010:GFVV4YOILTTM6GC7QM33MWAS5I

not attested not anchored not stored refs pending

The Entropy for General Extremal Black Holes

Jianwei Mei

arxiv:1002.1349 v2 · 2010-02-07 · hep-th · 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{GFVV4YOILTTM6GC7QM33MWAS5I}

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	2026-07-04T17:27:38.855015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316b5e61c85ce6cf185f8337b65812ea24aaf11dda64b8fa7fe53d395766890e

Aliases

arxiv: 1002.1349 · arxiv_version: 1002.1349v2 · doi: 10.48550/arxiv.1002.1349 · pith_short_12: GFVV4YOILTTM · pith_short_16: GFVV4YOILTTM6GC7 · pith_short_8: GFVV4YOI

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/GFVV4YOILTTM6GC7QM33MWAS5I \
  | 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: 316b5e61c85ce6cf185f8337b65812ea24aaf11dda64b8fa7fe53d395766890e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69299efcd7aaac6f413e0026f1e7b43b4ec33a80ac161df14e3cb85f33c9f0fd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-02-07T00:55:18Z",
    "title_canon_sha256": "6c4837b5707c48252f46846b746021ead84004607df0326a5ea24098d1711ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1349",
    "kind": "arxiv",
    "version": 2
  }
}