Pith Number

pith:24FEZHXL

pith:2016:24FEZHXLDQ3LK2VZPGQZ2NAOJB

not attested not anchored not stored refs pending

Black Hole Entropy from Entropy of Hawking Radiation

Kamal Hajian, Sajad Aghapour

arxiv:1603.02866 v3 · 2016-03-09 · 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{24FEZHXLDQ3LK2VZPGQZ2NAOJB}

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	2026-05-18T00:49:00.087531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70a4c9eeb1c36b56ab979a19d340e487485a67b05ce94923bb98331ef95428d

Aliases

arxiv: 1603.02866 · arxiv_version: 1603.02866v3 · doi: 10.48550/arxiv.1603.02866 · pith_short_12: 24FEZHXLDQ3L · pith_short_16: 24FEZHXLDQ3LK2VZ · pith_short_8: 24FEZHXL

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/24FEZHXLDQ3LK2VZPGQZ2NAOJB \
  | 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: d70a4c9eeb1c36b56ab979a19d340e487485a67b05ce94923bb98331ef95428d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1a6f323c14ac85ea18e7c43d7a28635d0caac4a7ff3b1f2481d695735d6cdb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-09T12:35:00Z",
    "title_canon_sha256": "b0c933fcaacdf0971bbb7abfc07122172fdd94c2c6405a16b4c48458d680c1d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02866",
    "kind": "arxiv",
    "version": 3
  }
}