Pith Number

pith:RX2KEXLH

pith:2010:RX2KEXLHDLIQWVU2UK7USAPTCC

not attested not anchored not stored refs pending

Hopf algebras and polynomial identities

Christian Kassel

arxiv:1009.3180 v1 · 2010-09-16 · 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{RX2KEXLHDLIQWVU2UK7USAPTCC}

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	2026-05-18T03:58:12.707547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df4a25d671ad10b569aa2bf4901f310ada6ac58a6cd12b65975e8eb65d8a5c0

Aliases

arxiv: 1009.3180 · arxiv_version: 1009.3180v1 · doi: 10.48550/arxiv.1009.3180 · pith_short_12: RX2KEXLHDLIQ · pith_short_16: RX2KEXLHDLIQWVU2 · pith_short_8: RX2KEXLH

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/RX2KEXLHDLIQWVU2UK7USAPTCC \
  | 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: 8df4a25d671ad10b569aa2bf4901f310ada6ac58a6cd12b65975e8eb65d8a5c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0481441c8f7a6a56dd4e4f531d6cacc725a87cfcee1fcab3868bd89d77b21794",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-09-16T14:11:14Z",
    "title_canon_sha256": "ca30ac4d76ef630d4ab5268acc06df801f9ff92a3be1b38a98ee989cecdb3d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3180",
    "kind": "arxiv",
    "version": 1
  }
}