Pith Number

pith:GEQN5LKZ

pith:2013:GEQN5LKZ7Y6RHW56IW5UOLHMLP

not attested not anchored not stored refs pending

Self-similarity, conservation of entropy/bits and the black hole information puzzle

Douglas Singleton, Elias C. Vagenas, Tao Zhu

arxiv:1311.2015 v2 · 2013-11-08 · 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{GEQN5LKZ7Y6RHW56IW5UOLHMLP}

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	2026-05-18T01:46:32.839728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3120dead59fe3d13dbbe45bb472cec5bfa7678ca140cfda4739363b3b36ef302

Aliases

arxiv: 1311.2015 · arxiv_version: 1311.2015v2 · doi: 10.48550/arxiv.1311.2015 · pith_short_12: GEQN5LKZ7Y6R · pith_short_16: GEQN5LKZ7Y6RHW56 · pith_short_8: GEQN5LKZ

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/GEQN5LKZ7Y6RHW56IW5UOLHMLP \
  | 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: 3120dead59fe3d13dbbe45bb472cec5bfa7678ca140cfda4739363b3b36ef302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56edcc43e3597c4b9a64aac991a2bca0f03853d906cf002fda467cea89c5394a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-08T16:34:45Z",
    "title_canon_sha256": "50a0b25fb109ef08a05e05b6ffa7de9f722f906a29f91b36dc014016f25034ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2015",
    "kind": "arxiv",
    "version": 2
  }
}