Pith Number

pith:64Z5IJC7

pith:2014:64Z5IJC7L3HKJKN6ULICYY4BJT

not attested not anchored not stored refs pending

A Cacti theoretical interpretation of the axioms of bialgebras and H-module algebras

Leandro Lombardi, Marco Farinati

arxiv:1404.5225 v1 · 2014-04-21 · math.KT · 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{64Z5IJC7L3HKJKN6ULICYY4BJT}

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	2026-05-18T02:53:42.299046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f733d4245f5ecea4a9bea2d02c63814ceb250005f214bb4347ea1e4243d9f2e9

Aliases

arxiv: 1404.5225 · arxiv_version: 1404.5225v1 · doi: 10.48550/arxiv.1404.5225 · pith_short_12: 64Z5IJC7L3HK · pith_short_16: 64Z5IJC7L3HKJKN6 · pith_short_8: 64Z5IJC7

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/64Z5IJC7L3HKJKN6ULICYY4BJT \
  | 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: f733d4245f5ecea4a9bea2d02c63814ceb250005f214bb4347ea1e4243d9f2e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1b6021d6561e9201d5290f8846bdcea85443cf4087c49b3db17176da7c108d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-04-21T15:38:19Z",
    "title_canon_sha256": "74b3b8eb2737d55e155f8767a82b07d24d926638920dc84af18ef5d0d6835158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5225",
    "kind": "arxiv",
    "version": 1
  }
}