Pith Number

pith:4CZZMLQT

pith:2014:4CZZMLQTXHXWJQDVHXRQM5JKEY

not attested not anchored not stored refs pending

Lower matching conjecture, and a new proof of Schrijver's and Gurvits's theorems

P\'eter Csikv\'ari

arxiv:1406.0766 v4 · 2014-06-03 · 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{4CZZMLQTXHXWJQDVHXRQM5JKEY}

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	2026-05-18T00:46:32.286291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b3962e13b9ef64c0753de306752a262ad75da2e837f0e55d92d5e77ce70c75

Aliases

arxiv: 1406.0766 · arxiv_version: 1406.0766v4 · doi: 10.48550/arxiv.1406.0766 · pith_short_12: 4CZZMLQTXHXW · pith_short_16: 4CZZMLQTXHXWJQDV · pith_short_8: 4CZZMLQT

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/4CZZMLQTXHXWJQDVHXRQM5JKEY \
  | 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: e0b3962e13b9ef64c0753de306752a262ad75da2e837f0e55d92d5e77ce70c75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a9f35b36aa333ea17f5ef6fe1e5a9c7f413ef64a5eb8a389a2c66dd94f6c6f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-03T16:09:09Z",
    "title_canon_sha256": "0e5605f34e878329da618d16883167475e7bfeb933482665e1422cfc436f9bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0766",
    "kind": "arxiv",
    "version": 4
  }
}