Pith Number

pith:3HXU3GML

pith:2013:3HXU3GMLV6WKJHN6OOMFJEXFWG

not attested not anchored not stored refs pending

Where Does Black Hole Entropy Lie? Some Remarks on Area-Entropy Law, Holographic Principle and Noncommutative Space-Time

Sho Tanaka

arxiv:1304.6581 v4 · 2013-04-24 · 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{3HXU3GMLV6WKJHN6OOMFJEXFWG}

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	2026-05-18T03:01:10.709915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9ef4d998bafaca49dbe73985492e5b1982ccd82f164c3ae39ca13870e0adb0e

Aliases

arxiv: 1304.6581 · arxiv_version: 1304.6581v4 · doi: 10.48550/arxiv.1304.6581 · pith_short_12: 3HXU3GMLV6WK · pith_short_16: 3HXU3GMLV6WKJHN6 · pith_short_8: 3HXU3GML

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/3HXU3GMLV6WKJHN6OOMFJEXFWG \
  | 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: d9ef4d998bafaca49dbe73985492e5b1982ccd82f164c3ae39ca13870e0adb0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068506b287b241585ed811f98f967032293b27515c882c341d23d0bc1328fb42",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-24T13:29:40Z",
    "title_canon_sha256": "e3898ffdc7eb473a6dbb92e65d29ef694af032bb2c06f79b5165d2fbd677a8f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6581",
    "kind": "arxiv",
    "version": 4
  }
}