Pith Number

pith:DBIBEBHT

pith:2026:DBIBEBHT4IENSSPGR5OLEKJISK

not attested not anchored not stored refs pending

A categorification of Kauffman states for planar graphs

Domenico Fiorenza, Eugenio Landi, Giovanni Cerulli Irelli, Michele Matteucci

arxiv:2605.19872 v1 · 2026-05-19 · math.RT · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBIBEBHT4IENSSPGR5OLEKJISK}

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	2026-05-20T01:06:18.468188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18501204f3e208d949e68f5cb2292892bd7cf16c6665645a68d98e47224fcb75

Aliases

arxiv: 2605.19872 · arxiv_version: 2605.19872v1 · doi: 10.48550/arxiv.2605.19872 · pith_short_12: DBIBEBHT4IEN · pith_short_16: DBIBEBHT4IENSSPG · pith_short_8: DBIBEBHT

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/DBIBEBHT4IENSSPGR5OLEKJISK \
  | 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: 18501204f3e208d949e68f5cb2292892bd7cf16c6665645a68d98e47224fcb75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34e306f812fbc988e6987b0e6624e36cf3423ff1e7ef0f383becb7094f18728b",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-19T14:02:30Z",
    "title_canon_sha256": "8083d0717e8a13d2ef5fd32f0ac8f6a4d0b919aa70894e307f8499431dc5613b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19872",
    "kind": "arxiv",
    "version": 1
  }
}