Pith Number

pith:CX2THF5O

pith:2026:CX2THF5OZBAUNYTG7NJ2TUWIDG

not attested not anchored not stored refs pending

Special Matchings, Brenti's Conjecture, and the Combinatorial Invariance Conjecture

Fabrizio Caselli, Mario Marietti

arxiv:2606.11776 v1 · 2026-06-10 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CX2THF5OZBAUNYTG7NJ2TUWIDG}

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	2026-06-11T01:10:07.267339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15f53397aec84146e266fb53a9d2c819883a3aee9c94816b85b88094ff99631c

Aliases

arxiv: 2606.11776 · arxiv_version: 2606.11776v1 · doi: 10.48550/arxiv.2606.11776 · pith_short_12: CX2THF5OZBAU · pith_short_16: CX2THF5OZBAUNYTG · pith_short_8: CX2THF5O

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/CX2THF5OZBAUNYTG7NJ2TUWIDG \
  | 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: 15f53397aec84146e266fb53a9d2c819883a3aee9c94816b85b88094ff99631c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74bfc116ef8ef97bdf7e2027cd981d0af349394fd63241bd4f40fb345b37a3f3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-10T08:03:30Z",
    "title_canon_sha256": "9f5b81b3ce498aefece6c6d050eacecf9615c60b33f99cdbfb6afb66e08049e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11776",
    "kind": "arxiv",
    "version": 1
  }
}