Pith Number

pith:GI5QSAV3

pith:2012:GI5QSAV3EH3PZ56QYYFP4M4JIA

not attested not anchored not stored refs pending

Strong subadditivity and the covariant holographic entanglement entropy formula

Jianyang He, Matthew Headrick, Robert Callan

arxiv:1204.2309 v1 · 2012-04-11 · 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{GI5QSAV3EH3PZ56QYYFP4M4JIA}

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

Entanglement inequalities for timelike intervals within dynamical holography

Receipt and verification

First computed	2026-05-18T01:57:53.784413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323b0902bb21f6fcf7d0c60afe338940003c3762951ac58807865e657d3ef130

Aliases

arxiv: 1204.2309 · arxiv_version: 1204.2309v1 · doi: 10.48550/arxiv.1204.2309 · pith_short_12: GI5QSAV3EH3P · pith_short_16: GI5QSAV3EH3PZ56Q · pith_short_8: GI5QSAV3

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/GI5QSAV3EH3PZ56QYYFP4M4JIA \
  | 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: 323b0902bb21f6fcf7d0c60afe338940003c3762951ac58807865e657d3ef130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c7009a2d59be5d37c9104a65c46bf79d61dbdd3c452c4ceab6a5961cb0ba82c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-11T00:52:08Z",
    "title_canon_sha256": "87c92232ab5a3cc246c276148161752cf243c77bb3412b72d95ccc6768c74a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2309",
    "kind": "arxiv",
    "version": 1
  }
}