Pith Number

pith:OF4QPR23

pith:2009:OF4QPR23UFGSNFV5E6JOQPIXTH

not attested not anchored not stored refs pending

Monoidal Hom-Hopf algebras

I. Goyvaerts, S. Caenepeel

arxiv:0907.0187 v3 · 2009-07-01 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OF4QPR23UFGSNFV5E6JOQPIXTH}

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	2026-05-18T03:15:58.031051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

717907c75ba14d2696bd2792e83d1799cc698ee053b7c9327b92c14f57bf19c4

Aliases

arxiv: 0907.0187 · arxiv_version: 0907.0187v3 · doi: 10.48550/arxiv.0907.0187 · pith_short_12: OF4QPR23UFGS · pith_short_16: OF4QPR23UFGSNFV5 · pith_short_8: OF4QPR23

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/OF4QPR23UFGSNFV5E6JOQPIXTH \
  | 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: 717907c75ba14d2696bd2792e83d1799cc698ee053b7c9327b92c14f57bf19c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7eeed6c3bb2b435c535773300bf7c52581265f79deb0e5bf6e9ff33471e1b8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-07-01T15:50:50Z",
    "title_canon_sha256": "9f26ae58942a7593995a4ac10dc4eaee10537b3c7688e2e59dfd42c1771603ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0187",
    "kind": "arxiv",
    "version": 3
  }
}