Pith Number

pith:J7ZSHK2V

pith:2011:J7ZSHK2VZRFSPKIIOG2JGXLZAY

not attested not anchored not stored refs pending

Area law for black hole entropy in the SU(2) quantum geometry approach

P. Mitra

arxiv:1107.4605 v5 · 2011-07-22 · gr-qc · 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{J7ZSHK2VZRFSPKIIOG2JGXLZAY}

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	2026-05-18T03:55:35.602680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff323ab55cc4b27a90871b4935d79060972063febe99f506544b26e12b0265e

Aliases

arxiv: 1107.4605 · arxiv_version: 1107.4605v5 · doi: 10.48550/arxiv.1107.4605 · pith_short_12: J7ZSHK2VZRFS · pith_short_16: J7ZSHK2VZRFSPKII · pith_short_8: J7ZSHK2V

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/J7ZSHK2VZRFSPKIIOG2JGXLZAY \
  | 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: 4ff323ab55cc4b27a90871b4935d79060972063febe99f506544b26e12b0265e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efc6ee78b494aee297844b31bb02957237052cad06947497dd20957f8ca2a355",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-22T09:59:40Z",
    "title_canon_sha256": "843cf477b2af42c2763a25f2f1692f351e30d07bba3da872976ff1d0c126ca13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4605",
    "kind": "arxiv",
    "version": 5
  }
}