Pith Number

pith:ANE4UVOT

pith:2012:ANE4UVOTIJ3LR3JTQOQSZPPURG

not attested not anchored not stored refs pending

Entanglement Entropy from a Holographic Viewpoint

Tadashi Takayanagi

arxiv:1204.2450 v2 · 2012-04-11 · gr-qc · cond-mat.str-el · hep-th · 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{ANE4UVOTIJ3LR3JTQOQSZPPURG}

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.

Cited by

1 paper in Pith

$R^2$ corrections to Complexity Growth with a Probe String

Receipt and verification

First computed	2026-05-18T01:57:53.571310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0349ca55d34276b8ed3383a12cbdf489abb32895360eb2a4f0afffffb3b214ac

Aliases

arxiv: 1204.2450 · arxiv_version: 1204.2450v2 · doi: 10.48550/arxiv.1204.2450 · pith_short_12: ANE4UVOTIJ3L · pith_short_16: ANE4UVOTIJ3LR3JT · pith_short_8: ANE4UVOT

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/ANE4UVOTIJ3LR3JTQOQSZPPURG \
  | 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: 0349ca55d34276b8ed3383a12cbdf489abb32895360eb2a4f0afffffb3b214ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e605948bba812a63b94cceb34d578eaf9b382b84ae5c36016daf5ec2c0c7a804",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-04-11T13:49:01Z",
    "title_canon_sha256": "e21b3af19f14ea5fc837024edddbeaa0fe765f42fb93a9a94d61a8636b7e3d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2450",
    "kind": "arxiv",
    "version": 2
  }
}