Pith Number

pith:RZBCNPL7

pith:2026:RZBCNPL7ZA5YBG2ZSNINYZZ3ES

not attested not anchored not stored refs pending

Biclique decompositions from Welzl orders

Jean Cardinal, Rose McCarty, Yelena Yuditsky

arxiv:2606.09785 v1 · 2026-06-08 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZBCNPL7ZA5YBG2ZSNINYZZ3ES}

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	2026-06-09T02:09:09.720673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4226bd7fc83b809b599350dc673b24bc51ab9d7657fb5ab7f524d1c2fa8442

Aliases

arxiv: 2606.09785 · arxiv_version: 2606.09785v1 · doi: 10.48550/arxiv.2606.09785 · pith_short_12: RZBCNPL7ZA5Y · pith_short_16: RZBCNPL7ZA5YBG2Z · pith_short_8: RZBCNPL7

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/RZBCNPL7ZA5YBG2ZSNINYZZ3ES \
  | 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: 8e4226bd7fc83b809b599350dc673b24bc51ab9d7657fb5ab7f524d1c2fa8442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db82defb263f8b73cefa2240337b25c31b597a74f4f89d4c12628479491344df",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-08T17:42:31Z",
    "title_canon_sha256": "eb3520b2bd1dbbc8261ad2c4a34a2d4f16996b19d68857b0f965b29b70442a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09785",
    "kind": "arxiv",
    "version": 1
  }
}