Pith Number

pith:2K3E64KP

pith:2025:2K3E64KPAWR7HHBFOVYNZEYINO

not attested not anchored not stored refs pending

Aspects of the Black Hole Interior Volume and Entropy

Shad Ali

arxiv:2509.03042 v1 · 2025-09-03 · gr-qc · hep-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2K3E64KPAWR7HHBFOVYNZEYINO}

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	2026-07-05T12:04:02.692004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b64f714f05a3f39c257570dc93086bb64be721d7b698efd3aed1d7a3cddc94

Aliases

arxiv: 2509.03042 · arxiv_version: 2509.03042v1 · doi: 10.48550/arxiv.2509.03042 · pith_short_12: 2K3E64KPAWR7 · pith_short_16: 2K3E64KPAWR7HHBF · pith_short_8: 2K3E64KP

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/2K3E64KPAWR7HHBFOVYNZEYINO \
  | 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: d2b64f714f05a3f39c257570dc93086bb64be721d7b698efd3aed1d7a3cddc94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06f1240b6442f400b7d9087e929a49a2b45ab40c609c4acbadfbc885dfe26792",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-03T06:08:23Z",
    "title_canon_sha256": "2e5782796fdb8b05565276efc7869c28375561566241f41b4ce3b1c523017992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03042",
    "kind": "arxiv",
    "version": 1
  }
}