Pith Number

pith:3ALDDILS

pith:2019:3ALDDILSPJDE5FV7NF2OEP6PBN

not attested not anchored not stored refs pending

Affine commutative-by-finite Hopf algebras

Kenneth Brown, Miguel Couto

arxiv:1907.10527 v1 · 2019-07-24 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ALDDILSPJDE5FV7NF2OEP6PBN}

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	2026-05-17T23:39:37.648631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81631a1727a464e96bf6974e23fcf0b47dcc3664416a17bd907a960033c94fd

Aliases

arxiv: 1907.10527 · arxiv_version: 1907.10527v1 · doi: 10.48550/arxiv.1907.10527 · pith_short_12: 3ALDDILSPJDE · pith_short_16: 3ALDDILSPJDE5FV7 · pith_short_8: 3ALDDILS

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/3ALDDILSPJDE5FV7NF2OEP6PBN \
  | 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: d81631a1727a464e96bf6974e23fcf0b47dcc3664416a17bd907a960033c94fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c46e49166208089a3445f35df9f64007a28d34b814a8173d200f84b10b58a33",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-07-24T15:40:16Z",
    "title_canon_sha256": "2ec91d40f12a7d37b2d08154f053c4e95d551454d8e4d5a796016b3e1388729a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10527",
    "kind": "arxiv",
    "version": 1
  }
}