Pith Number

pith:NNGRZIBY

pith:2010:NNGRZIBY2BWZG6P6OJQDAMM2OV

not attested not anchored not stored refs pending

Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining

Tadashi Takayanagi, Tomonori Ugajin

arxiv:1008.3439 v1 · 2010-08-20 · hep-th · cond-mat.stat-mech · gr-qc · quant-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{NNGRZIBY2BWZG6P6OJQDAMM2OV}

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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.

Cited by

1 paper in Pith

No boundary density matrix in elliptic de Sitter dS/$\mathbb{Z}_2$

Receipt and verification

First computed	2026-05-18T04:26:45.525623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b4d1ca038d06d9379fe726030319a757ae05fedb6ab27516488517f3766fbaa

Aliases

arxiv: 1008.3439 · arxiv_version: 1008.3439v1 · doi: 10.48550/arxiv.1008.3439 · pith_short_12: NNGRZIBY2BWZ · pith_short_16: NNGRZIBY2BWZG6P6 · pith_short_8: NNGRZIBY

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/NNGRZIBY2BWZG6P6OJQDAMM2OV \
  | 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: 6b4d1ca038d06d9379fe726030319a757ae05fedb6ab27516488517f3766fbaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87a9f302bd7761c4f3da5b144b5e5f98d49e8432530cffd0ba58dd86892c5e6a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-08-20T05:26:55Z",
    "title_canon_sha256": "8633c1588e845ef89da3c664baf8eda7d4a23be5d38c5c322e3d2b9a40b6052d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3439",
    "kind": "arxiv",
    "version": 1
  }
}