Pith Number

pith:W66UZPZN

pith:2026:W66UZPZNBR4HL4AUY5NOE7OLNV

not attested not anchored not stored refs pending

Measurable matchings in unbalanced graphs

Anton Bernshteyn, Felix Weilacher, Matt Bowen

arxiv:2606.11558 v1 · 2026-06-10 · math.LO · 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{W66UZPZNBR4HL4AUY5NOE7OLNV}

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	2026-06-11T01:09:56.011074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7bd4cbf2d0c7875f014c75ae27dcb6d631cbd1d1c87b42c31ac0c4e65de1315

Aliases

arxiv: 2606.11558 · arxiv_version: 2606.11558v1 · doi: 10.48550/arxiv.2606.11558 · pith_short_12: W66UZPZNBR4H · pith_short_16: W66UZPZNBR4HL4AU · pith_short_8: W66UZPZN

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/W66UZPZNBR4HL4AUY5NOE7OLNV \
  | 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: b7bd4cbf2d0c7875f014c75ae27dcb6d631cbd1d1c87b42c31ac0c4e65de1315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c4fb03bc38ee3d828e2a49a72f95c02b3a4d0b38a4a43874b30426ea78a18b7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-10T01:35:26Z",
    "title_canon_sha256": "a08dd1c48c2ccd0c1c00504f7afdbaa26f9aae57e0e93a8254834f517ab2c062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11558",
    "kind": "arxiv",
    "version": 1
  }
}