Pith Number

pith:57SEM5ZW

pith:2026:57SEM5ZWTW5PPROB32LHPQKQ6V

not attested not anchored not stored refs pending

Categorification of some Penrose polynomials

D. Tubbenhauer, D. W. Collison

arxiv:2607.01632 v1 · 2026-07-02 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57SEM5ZWTW5PPROB32LHPQKQ6V}

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	2026-07-03T01:17:03.921063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe44677369dbaf7c5c1de9677c150f557d2e5697aaa55a1552de0468b5e71ad

Aliases

arxiv: 2607.01632 · arxiv_version: 2607.01632v1 · doi: 10.48550/arxiv.2607.01632 · pith_short_12: 57SEM5ZWTW5P · pith_short_16: 57SEM5ZWTW5PPROB · pith_short_8: 57SEM5ZW

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/57SEM5ZWTW5PPROB32LHPQKQ6V \
  | 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: efe44677369dbaf7c5c1de9677c150f557d2e5697aaa55a1552de0468b5e71ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a3c5d6e42502d993b61f00b277d0b00ea15389c4986dd166a898c5b6ccfa888",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-02T02:59:20Z",
    "title_canon_sha256": "1e287e974a9326fd787f577e21cea07e6d93c3c35237fac843db7db12371a8e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01632",
    "kind": "arxiv",
    "version": 1
  }
}