Pith Number

pith:WFH56EK6

pith:2026:WFH56EK6ITU7S2BBDNRGREBD6J

not attested not anchored not stored refs pending

Matroid correspondence

Anna Shapiro, Arvind Kumar, Botong Wang, Changxin Ding, Colin Crowley, Haoxi Hu, Jonathan Monta\~no, Juliet Whidden, Noah Solomon, Thai Thanh Nguyen

arxiv:2607.13783 v1 · 2026-07-15 · math.CO · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFH56EK6ITU7S2BBDNRGREBD6J}

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	2026-07-16T01:23:06.308570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14fdf115e44e9f968211b62689023f24b1e867879f2093a7d423ad3438c79f3

Aliases

arxiv: 2607.13783 · arxiv_version: 2607.13783v1 · doi: 10.48550/arxiv.2607.13783 · pith_short_12: WFH56EK6ITU7 · pith_short_16: WFH56EK6ITU7S2BB · pith_short_8: WFH56EK6

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/WFH56EK6ITU7S2BBDNRGREBD6J \
  | 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: b14fdf115e44e9f968211b62689023f24b1e867879f2093a7d423ad3438c79f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a94bec8f3ecb84bde64a8afadd819275ce8fab0a8e23951d85c84b423d9652f",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-15T12:38:20Z",
    "title_canon_sha256": "8b4429b7c71d99e1d9f9ae114ccd8072791c3f44e872eb5b53d1e8e5feb6c04d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13783",
    "kind": "arxiv",
    "version": 1
  }
}