Pith Number

pith:XQXV7SXN

pith:2010:XQXV7SXNLJ3GAIQCPQ3KKZFG5R

not attested not anchored not stored refs pending

Entanglement entropy for odd spheres

J.S.Dowker

arxiv:1012.1548 v1 · 2010-12-07 · hep-th · gr-qc · math.SP · 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{XQXV7SXNLJ3GAIQCPQ3KKZFG5R}

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	2026-05-18T04:32:45.272526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc2f5fcaed5a766022027c36a564a6ec5aa620d476ff5250d1da76128d712388

Aliases

arxiv: 1012.1548 · arxiv_version: 1012.1548v1 · doi: 10.48550/arxiv.1012.1548 · pith_short_12: XQXV7SXNLJ3G · pith_short_16: XQXV7SXNLJ3GAIQC · pith_short_8: XQXV7SXN

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/XQXV7SXNLJ3GAIQCPQ3KKZFG5R \
  | 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: bc2f5fcaed5a766022027c36a564a6ec5aa620d476ff5250d1da76128d712388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d9730ee0cf9e288ff0c0869859c599c3deb294d964ce48d3bb382e24b64914",
    "cross_cats_sorted": [
      "gr-qc",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-07T16:46:02Z",
    "title_canon_sha256": "08113178adc2fc0a7f43e9cd2f41d8c3049202c4cbfc6cdef83ccc9fd5234cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1548",
    "kind": "arxiv",
    "version": 1
  }
}