Pith Number

pith:M56KXS57

pith:2013:M56KXS5772BJEBQYGMACTVE5SW

not attested not anchored not stored refs pending

Local-entire cyclic cocycles for graded quantum field nets

Robin Hillier

arxiv:1306.6317 v3 · 2013-06-26 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M56KXS5772BJEBQYGMACTVE5SW}

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	2026-05-18T02:58:57.109279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

677cabcbbffe82920618330029d49d95934f429e1910914e3e7b9e8311386b88

Aliases

arxiv: 1306.6317 · arxiv_version: 1306.6317v3 · doi: 10.48550/arxiv.1306.6317 · pith_short_12: M56KXS5772BJ · pith_short_16: M56KXS5772BJEBQY · pith_short_8: M56KXS57

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/M56KXS5772BJEBQYGMACTVE5SW \
  | 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: 677cabcbbffe82920618330029d49d95934f429e1910914e3e7b9e8311386b88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb48fd6354556c73999393f1a1298836cc8ca104266260d93f007106581cfc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-26T19:05:34Z",
    "title_canon_sha256": "8016f7169f3cda5c565998b3eab405bb8cd4061c4ff9cd0d93afd06fa8910164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6317",
    "kind": "arxiv",
    "version": 3
  }
}