Pith Number

pith:J2MP32JD

pith:2015:J2MP32JDYVNSA5ZIPULOEE3N3Y

not attested not anchored not stored refs pending

Hopf algebras and Tutte polynomials

Adrian Tanasa, Iain Moffatt, Thomas Krajewski

arxiv:1508.00814 v3 · 2015-08-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2MP32JDYVNSA5ZIPULOEE3N3Y}

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	2026-05-18T00:22:21.380984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e98fde923c55b2077287d16e2136dde1c5b64bca2b1e0c408726e3c48ae5248

Aliases

arxiv: 1508.00814 · arxiv_version: 1508.00814v3 · doi: 10.48550/arxiv.1508.00814 · pith_short_12: J2MP32JDYVNS · pith_short_16: J2MP32JDYVNSA5ZI · pith_short_8: J2MP32JD

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/J2MP32JDYVNSA5ZIPULOEE3N3Y \
  | 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: 4e98fde923c55b2077287d16e2136dde1c5b64bca2b1e0c408726e3c48ae5248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5805546c7846b3db181a064476e8fc3586b08d47358e3643c4e82a259f739453",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-04T16:14:50Z",
    "title_canon_sha256": "c6bb0469ddb7e0da21746056e3ebadb42c5ab47990287066b1fe65ef35936ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00814",
    "kind": "arxiv",
    "version": 3
  }
}