Pith Number

pith:KWIRKMD3

pith:2012:KWIRKMD35KU7F57CLAJJCXRTAO

not attested not anchored not stored refs pending

Maximal antichains of minimum size

Ian T. Roberts, Thomas Kalinowski, Uwe Leck

arxiv:1206.3007 v3 · 2012-06-14 · 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{KWIRKMD35KU7F57CLAJJCXRTAO}

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	2026-05-18T03:28:30.578833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559115307beaa9f2f7e25812915e3303a9c8803f8993e780fbdc92e43336fd2d

Aliases

arxiv: 1206.3007 · arxiv_version: 1206.3007v3 · doi: 10.48550/arxiv.1206.3007 · pith_short_12: KWIRKMD35KU7 · pith_short_16: KWIRKMD35KU7F57C · pith_short_8: KWIRKMD3

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/KWIRKMD35KU7F57CLAJJCXRTAO \
  | 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: 559115307beaa9f2f7e25812915e3303a9c8803f8993e780fbdc92e43336fd2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00565430e2eea52c2f0c76615964e696259a28f6a43dc2c09dccd29661847392",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-14T05:13:34Z",
    "title_canon_sha256": "d519618c2b323e17ea01b7336b0d2e16b54548bcdc4711ab4e22feb566008a37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3007",
    "kind": "arxiv",
    "version": 3
  }
}