Pith Number

pith:XYTA2ATI

pith:2026:XYTA2ATI5EVLCLS2MTAEFFTUXD

not attested not anchored not stored refs pending

A Hypergraph Tutte Polynomial

Joanna A. Ellis-Monaghan, Khallil Berrekkal, Merijn Moody

arxiv:2607.16334 v1 · 2026-07-16 · 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{XYTA2ATI5EVLCLS2MTAEFFTUXD}

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	2026-07-21T00:20:12.874521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be260d0268e92ab12e5a64c0429674b8daedf48a960f1586046ba7dc46892bb8

Aliases

arxiv: 2607.16334 · arxiv_version: 2607.16334v1 · doi: 10.48550/arxiv.2607.16334 · pith_short_12: XYTA2ATI5EVL · pith_short_16: XYTA2ATI5EVLCLS2 · pith_short_8: XYTA2ATI

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/XYTA2ATI5EVLCLS2MTAEFFTUXD \
  | 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: be260d0268e92ab12e5a64c0429674b8daedf48a960f1586046ba7dc46892bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e39c9787d0ad0699868b33b44024eb3d4d57ebbb83d3db45591d648e8fc6fcb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-16T07:32:48Z",
    "title_canon_sha256": "226932038b9c36c584172ade9bb4ef30adb7eae0feb2238f9a766dc0a86cd265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16334",
    "kind": "arxiv",
    "version": 1
  }
}