Pith Number

pith:QJ3UNBGC

pith:2013:QJ3UNBGCXYH67FIVWUZAUJWD6E

not attested not anchored not stored refs pending

Adjunctions and Braided Objects

Alessandro Ardizzoni, Claudia Menini

arxiv:1304.3592 v1 · 2013-04-12 · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJ3UNBGCXYH67FIVWUZAUJWD6E}

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	2026-05-18T03:28:07.138883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82774684c2be0fef9515b5320a26c3f100b359c7874f25e5ec3e3ccc4a818e88

Aliases

arxiv: 1304.3592 · arxiv_version: 1304.3592v1 · doi: 10.48550/arxiv.1304.3592 · pith_short_12: QJ3UNBGCXYH6 · pith_short_16: QJ3UNBGCXYH67FIV · pith_short_8: QJ3UNBGC

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/QJ3UNBGCXYH67FIVWUZAUJWD6E \
  | 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: 82774684c2be0fef9515b5320a26c3f100b359c7874f25e5ec3e3ccc4a818e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fabc4ba20cfc9ff2ac3976e64c9c456604175789a61dceb878bbb866e65ea38",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-04-12T10:21:56Z",
    "title_canon_sha256": "666993307e7df5808fe369eab85887add0306fa857556a7e7f02b53eae7c8cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3592",
    "kind": "arxiv",
    "version": 1
  }
}