Pith Number

pith:JFCBCNTY

pith:2011:JFCBCNTYQEMC4GA4YSER3S6YMD

not attested not anchored not stored refs pending

Quantum statistics on graphs

JM Harrison, JM Robbins, JP Keating

arxiv:1101.1535 v1 · 2011-01-07 · math-ph · math.MP · 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{JFCBCNTYQEMC4GA4YSER3S6YMD}

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	2026-05-18T04:31:52.052482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

494411367881182e181cc4891dcbd860c1ddc1bdf707f18c6ec7f772e6ca8675

Aliases

arxiv: 1101.1535 · arxiv_version: 1101.1535v1 · doi: 10.48550/arxiv.1101.1535 · pith_short_12: JFCBCNTYQEMC · pith_short_16: JFCBCNTYQEMC4GA4 · pith_short_8: JFCBCNTY

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/JFCBCNTYQEMC4GA4YSER3S6YMD \
  | 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: 494411367881182e181cc4891dcbd860c1ddc1bdf707f18c6ec7f772e6ca8675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394403f9a86408d8e22756c4f35fdb87c1d1660776870bdd506db1248efb3228",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-07T21:36:20Z",
    "title_canon_sha256": "ebb00b522b7afdd6036ef4f49bb8679abee20df611742836f4860a9f6b4afc7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1535",
    "kind": "arxiv",
    "version": 1
  }
}