Pith Number

pith:3NJ3PSYS

pith:2010:3NJ3PSYSO4VKAJSHWTZFC6BYMI

not attested not anchored not stored refs pending

Hopf monoidal comonads

Dimitri Chikhladze, Ross Street, Stephen Lack

arxiv:1002.1122 v2 · 2010-02-05 · 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{3NJ3PSYSO4VKAJSHWTZFC6BYMI}

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	2026-05-18T04:24:35.263657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db53b7cb12772aa02647b4f25178386235e851b11927a857b5b9fe769a26863e

Aliases

arxiv: 1002.1122 · arxiv_version: 1002.1122v2 · doi: 10.48550/arxiv.1002.1122 · pith_short_12: 3NJ3PSYSO4VK · pith_short_16: 3NJ3PSYSO4VKAJSH · pith_short_8: 3NJ3PSYS

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/3NJ3PSYSO4VKAJSHWTZFC6BYMI \
  | 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: db53b7cb12772aa02647b4f25178386235e851b11927a857b5b9fe769a26863e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5abbf7c05d2279865bc845b3af8d7ec77a2464cc648e0c8eb0d5dbb96e591ca8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-02-05T05:24:45Z",
    "title_canon_sha256": "925beb3d0c405fd2c3ee71b6f2f755b314a51f07957ac458976c1e1ec2bc5688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1122",
    "kind": "arxiv",
    "version": 2
  }
}