Pith Number

pith:VVR6FFIB

pith:2024:VVR6FFIBZ5V43DEZDATRXC6X2G

not attested not anchored not stored refs pending

Graded Frobenius Algebras

Jonathan Clivio

arxiv:2412.13909 v2 · 2024-12-18 · math.AT · 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{VVR6FFIBZ5V43DEZDATRXC6X2G}

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	2026-07-05T11:47:59.107319Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad63e29501cf6bcd8c9918271b8bd7d187ffd2ce2777cf8187f3b3534c6f8ee4

Aliases

arxiv: 2412.13909 · arxiv_version: 2412.13909v2 · doi: 10.48550/arxiv.2412.13909 · pith_short_12: VVR6FFIBZ5V4 · pith_short_16: VVR6FFIBZ5V43DEZ · pith_short_8: VVR6FFIB

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/VVR6FFIBZ5V43DEZDATRXC6X2G \
  | 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: ad63e29501cf6bcd8c9918271b8bd7d187ffd2ce2777cf8187f3b3534c6f8ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e8c51281eb45b016b2f45767d6ace0d0a2471dea88119e2c0cf37788821b80",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-12-18T14:51:26Z",
    "title_canon_sha256": "ebe28c8a6395fd526a6de7481e1b0d3ceb47fcd4801ea04d49da73dbedf14ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13909",
    "kind": "arxiv",
    "version": 2
  }
}