Pith Number

pith:MNOWBPZM

pith:2009:MNOWBPZM6LYUPVFML5NL7LEH3J

not attested not anchored not stored refs pending

Simple extensions of combinatorial structures

Nik Ruskuc, Robert Brignall, Vince Vatter

arxiv:0911.4378 v2 · 2009-11-23 · 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{MNOWBPZM6LYUPVFML5NL7LEH3J}

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	2026-05-18T03:02:44.515096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635d60bf2cf2f147d4ac5f5abfac87da7de557a996fdf6d0d8e3969622ace068

Aliases

arxiv: 0911.4378 · arxiv_version: 0911.4378v2 · doi: 10.48550/arxiv.0911.4378 · pith_short_12: MNOWBPZM6LYU · pith_short_16: MNOWBPZM6LYUPVFM · pith_short_8: MNOWBPZM

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/MNOWBPZM6LYUPVFML5NL7LEH3J \
  | 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: 635d60bf2cf2f147d4ac5f5abfac87da7de557a996fdf6d0d8e3969622ace068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeada8c2755370ac05e77373fdd7dda9786ec4914f73690ebfca2ce74756d06c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-23T11:54:01Z",
    "title_canon_sha256": "31a84ea88c9ae5189983459a308ec955429f3d7ca2e8ce98e224ee914c73c5c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4378",
    "kind": "arxiv",
    "version": 2
  }
}