Pith Number

pith:FKXAFMPV

pith:2011:FKXAFMPVLJTNKUMMORFCQR6WWM

not attested not anchored not stored refs pending

Entanglement entropy in all dimensions

Samuel L. Braunstein (Univ. of York), Saurya Das (Univ. of Lethbridge), S. Shankaranarayanan (IISER-TVM)

arxiv:1110.1239 v2 · 2011-10-06 · hep-th · 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{FKXAFMPVLJTNKUMMORFCQR6WWM}

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.

Receipt and verification

First computed	2026-05-18T03:17:34.402149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aae02b1f55a66d5518c744a2847d6b31c1606bf4d3799540fbb4253d5846e3b

Aliases

arxiv: 1110.1239 · arxiv_version: 1110.1239v2 · doi: 10.48550/arxiv.1110.1239 · pith_short_12: FKXAFMPVLJTN · pith_short_16: FKXAFMPVLJTNKUMM · pith_short_8: FKXAFMPV

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/FKXAFMPVLJTNKUMMORFCQR6WWM \
  | 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: 2aae02b1f55a66d5518c744a2847d6b31c1606bf4d3799540fbb4253d5846e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018c42c844c0b7b21b5cd8fff7389661b89386455139eb45e5b1872cf960896f",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-10-06T12:19:49Z",
    "title_canon_sha256": "c93898e20c879d6837532e247446395251f45708e94e556fd01473c0871f8902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1239",
    "kind": "arxiv",
    "version": 2
  }
}