Pith Number

pith:BKJ3YT6A

pith:2021:BKJ3YT6AGLSTBW25LBNIDNA5KC

not attested not anchored not stored refs pending

Formalizing Hall's Marriage Theorem in Lean

Alena Gusakov, Bhavik Mehta, Kyle A. Miller

arxiv:2101.00127 v1 · 2021-01-01 · math.CO · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKJ3YT6AGLSTBW25LBNIDNA5KC}

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.

Cited by

1 paper in Pith

Tutte's theorem as an educational formalization project

Receipt and verification

First computed	2026-07-05T02:04:15.695782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a93bc4fc032e530db5d585a81b41d50bbcbbf0faaed1f5b42f321eb1baf0d33

Aliases

arxiv: 2101.00127 · arxiv_version: 2101.00127v1 · doi: 10.48550/arxiv.2101.00127 · pith_short_12: BKJ3YT6AGLST · pith_short_16: BKJ3YT6AGLSTBW25 · pith_short_8: BKJ3YT6A

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/BKJ3YT6AGLSTBW25LBNIDNA5KC \
  | 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: 0a93bc4fc032e530db5d585a81b41d50bbcbbf0faaed1f5b42f321eb1baf0d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a81bbfa9821bdeb40ce30d12c65d082acd7d5d827fbe52949bdecd36e90d473",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-01-01T01:10:31Z",
    "title_canon_sha256": "6ffa57279ea754913b8a7ad8c1f91ab635c971827d2a31370f803e6bc9a37990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.00127",
    "kind": "arxiv",
    "version": 1
  }
}