Pith Number

pith:H5P2EADE

pith:2017:H5P2EADEEBMCER6443IT5XJM3Q

not attested not anchored not stored refs pending

A module-theoretic approach to matroids

Colin Crowley, Joshua Mundinger, Noah Giansiracusa

arxiv:1712.03440 v3 · 2017-12-09 · math.AG · 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{H5P2EADEEBMCER6443IT5XJM3Q}

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	2026-07-05T05:47:12.593157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5fa2006420582247dce6d13edd2cdc246366322262583ff740b35b347767d7

Aliases

arxiv: 1712.03440 · arxiv_version: 1712.03440v3 · doi: 10.48550/arxiv.1712.03440 · pith_short_12: H5P2EADEEBMC · pith_short_16: H5P2EADEEBMCER64 · pith_short_8: H5P2EADE

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/H5P2EADEEBMCER6443IT5XJM3Q \
  | 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: 3f5fa2006420582247dce6d13edd2cdc246366322262583ff740b35b347767d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0438f70588f9e8646630c748f4a49ec022e35fef1404a081f5a11b8744c2ca3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-09T21:02:16Z",
    "title_canon_sha256": "d1da28faeeb81f4479e846a7ab56908815a6a00b33d408bf8deb253758853825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03440",
    "kind": "arxiv",
    "version": 3
  }
}