Pith Number

pith:S6Q3MNUG

pith:2017:S6Q3MNUGNORCSMC5I4POU7J5ZH

not attested not anchored not stored refs pending

An Algorithmic Proof of the Piff--Welsh Theorem on Transversal Matroid Representations

Carrie Rutherford, Robin Whitty

arxiv:1707.06727 v1 · 2017-07-21 · 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{S6Q3MNUGNORCSMC5I4POU7J5ZH}

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	2026-05-18T00:39:51.849109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97a1b636866ba229305d471eea7d3dc9f319f89eb56b3bc329d4ddc9dc534e39

Aliases

arxiv: 1707.06727 · arxiv_version: 1707.06727v1 · doi: 10.48550/arxiv.1707.06727 · pith_short_12: S6Q3MNUGNORC · pith_short_16: S6Q3MNUGNORCSMC5 · pith_short_8: S6Q3MNUG

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/S6Q3MNUGNORCSMC5I4POU7J5ZH \
  | 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: 97a1b636866ba229305d471eea7d3dc9f319f89eb56b3bc329d4ddc9dc534e39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea7586faa133ccdde125b68ab28d553eb7c330370cdf380c504a578a72444c65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-21T00:47:28Z",
    "title_canon_sha256": "7b73979ab5ca7541956d282f62ec65009fc04904befb1ad0a83b2b68f767b96b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06727",
    "kind": "arxiv",
    "version": 1
  }
}