Pith Number

pith:4ONYZCLF

pith:2026:4ONYZCLFTVKMWDGLXNDC6NAE2Y

not attested not anchored not stored refs pending

Pairwise meets of antichains in $\mathbb{Z}^d$

Guillermo Rey

arxiv:2606.08772 v1 · 2026-06-07 · 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{4ONYZCLFTVKMWDGLXNDC6NAE2Y}

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	2026-06-09T02:07:38.525353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39b8c89659d54cb0ccbbb462f3404d61ae1d06f0ec61b49cfe842e1237b4b38

Aliases

arxiv: 2606.08772 · arxiv_version: 2606.08772v1 · doi: 10.48550/arxiv.2606.08772 · pith_short_12: 4ONYZCLFTVKM · pith_short_16: 4ONYZCLFTVKMWDGL · pith_short_8: 4ONYZCLF

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/4ONYZCLFTVKMWDGLXNDC6NAE2Y \
  | 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: e39b8c89659d54cb0ccbbb462f3404d61ae1d06f0ec61b49cfe842e1237b4b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a924c6a1f5d39153ae6b061d817d30c119a0a7d931df732815efcf18f684be20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-07T18:35:23Z",
    "title_canon_sha256": "76fcc68607d1da2935293a2e57652688fa1801f410746d8fdb56d51ac1da4c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08772",
    "kind": "arxiv",
    "version": 1
  }
}