Pith Number

pith:QBT43C5E

pith:2003:QBT43C5EPXLIGJXILUWXQ6M2WW

not attested not anchored not stored refs pending

Geometric entropy, area, and strong subadditivity

H. Casini

arxiv:hep-th/0312238 v3 · 2003-12-19 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBT43C5EPXLIGJXILUWXQ6M2WW}

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

Lectures on entanglement entropy in field theory and holography

Receipt and verification

First computed	2026-05-18T02:35:40.021853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8067cd8ba47dd68326e85d2d78799ab5a188676c2a92cadd37f076f81caaea44

Aliases

arxiv: hep-th/0312238 · arxiv_version: hep-th/0312238v3 · doi: 10.48550/arxiv.hep-th/0312238 · pith_short_12: QBT43C5EPXLI · pith_short_16: QBT43C5EPXLIGJXI · pith_short_8: QBT43C5E

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/QBT43C5EPXLIGJXILUWXQ6M2WW \
  | 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: 8067cd8ba47dd68326e85d2d78799ab5a188676c2a92cadd37f076f81caaea44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da23d6305dd66c5165132ee3810f94d194affdc3ced75fad9b8f3f24fc1b60eb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-12-19T09:13:26Z",
    "title_canon_sha256": "2e01f0a1dbaed144b1cb93cbba29c6fbb3a2f24522f87a7f44c4a41bbc561c76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0312238",
    "kind": "arxiv",
    "version": 3
  }
}