Pith Number

pith:7B3GMUWP

pith:2007:7B3GMUWPWTZJNUN4IA3AYBICNJ

not attested not anchored not stored refs pending

A holographic proof of the strong subadditivity of entanglement entropy

Matthew Headrick, Tadashi Takayanagi

arxiv:0704.3719 v1 · 2007-04-27 · hep-th · cond-mat.stat-mech · 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{7B3GMUWPWTZJNUN4IA3AYBICNJ}

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

13 papers in Pith

Phase transitions and uberholography of holographic pure-state geometries

Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents

Complexity Inequalities for Quantum Subsystems

Multi-entropy in heavy local quenches

Pure states for subregions in gravity and their entanglement entropy

Receipt and verification

First computed	2026-07-04T15:21:46.511676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8766652cfb4f296d1bc40360c05026a5bf0a85d9860fd7455a9a1b954185d68

Aliases

arxiv: 0704.3719 · arxiv_version: 0704.3719v1 · doi: 10.48550/arxiv.0704.3719 · pith_short_12: 7B3GMUWPWTZJ · pith_short_16: 7B3GMUWPWTZJNUN4 · pith_short_8: 7B3GMUWP

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/7B3GMUWPWTZJNUN4IA3AYBICNJ \
  | 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: f8766652cfb4f296d1bc40360c05026a5bf0a85d9860fd7455a9a1b954185d68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddaa6ab1593e3fa4df30586454c1d1c8c7cf409b1dbbd1eda853a8a681bd42b0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-04-27T18:00:44Z",
    "title_canon_sha256": "1ef248a699aa4d81defa5619eb3b3e949d3bd6baf94046a03faa571c1d8c743d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3719",
    "kind": "arxiv",
    "version": 1
  }
}