Pith Number

pith:4IZ2JYRN

pith:2026:4IZ2JYRNEQ26APK3YLL3LRIV5S

not attested not anchored not stored refs pending

Information-Theoretic Black Hole Entropy I: Beyond the Area Law

Alex Kehagias

arxiv:2608.05795 v1 · 2026-08-06 · hep-th · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IZ2JYRNEQ26APK3YLL3LRIV5S}

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	2026-08-07T00:52:45.970311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e233a4e22d2435e03d5bc2d7b5c515ecaea338b40a557f15573faf4fd664bd69

Aliases

arxiv: 2608.05795 · arxiv_version: 2608.05795v1 · doi: 10.48550/arxiv.2608.05795 · pith_short_12: 4IZ2JYRNEQ26 · pith_short_16: 4IZ2JYRNEQ26APK3 · pith_short_8: 4IZ2JYRN

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/4IZ2JYRNEQ26APK3YLL3LRIV5S \
  | 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: e233a4e22d2435e03d5bc2d7b5c515ecaea338b40a557f15573faf4fd664bd69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc87db60788ee859c8d292703982c449cce27289449a32e1c915a8380ba8d0d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-06T09:30:27Z",
    "title_canon_sha256": "b6d05e06008f2402bf08d55c7ff71c69834b3fdf2ebdf0c7ad59a85be75070e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05795",
    "kind": "arxiv",
    "version": 1
  }
}