Pith Number

pith:BXTKXNKZ

pith:2013:BXTKXNKZNB7GVQHWMP46RUHNWR

not attested not anchored not stored refs pending

Entanglement entropy on the fuzzy sphere

Joanna L. Karczmarek, Philippe Sabella-Garnier

arxiv:1310.8345 v3 · 2013-10-30 · 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{BXTKXNKZNB7GVQHWMP46RUHNWR}

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	2026-05-18T02:55:10.958025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0de6abb559687e6ac0f663f9e8d0edb441c0686c2c5757b162eeded302729491

Aliases

arxiv: 1310.8345 · arxiv_version: 1310.8345v3 · doi: 10.48550/arxiv.1310.8345 · pith_short_12: BXTKXNKZNB7G · pith_short_16: BXTKXNKZNB7GVQHW · pith_short_8: BXTKXNKZ

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/BXTKXNKZNB7GVQHWMP46RUHNWR \
  | 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: 0de6abb559687e6ac0f663f9e8d0edb441c0686c2c5757b162eeded302729491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56925cbb75e7e5ea7781ec69013ee372fdf148905c0f7e13a68c1b9979e9639b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-10-30T23:26:19Z",
    "title_canon_sha256": "26adc76e0232fe19bd47cc62227e08c33c2cec461163aac93f90e87a4414b489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8345",
    "kind": "arxiv",
    "version": 3
  }
}