Pith Number

pith:2ICQCK7P

pith:2002:2ICQCK7PQ2SMPTQH3N7DQ4VM7M

not attested not anchored not stored refs pending

The combinatorics of splittability

Boaz Tsaban

arxiv:math/0212312 v6 · 2002-12-22 · math.LO · math.CA · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ICQCK7PQ2SMPTQH3N7DQ4VM7M}

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	2026-05-18T04:37:23.205301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d205012bef86a4c7ce07db7e3872acfb1c64a54bb32736947abc74cc51e1009e

Aliases

arxiv: math/0212312 · arxiv_version: math/0212312v6 · doi: 10.48550/arxiv.math/0212312 · pith_short_12: 2ICQCK7PQ2SM · pith_short_16: 2ICQCK7PQ2SMPTQH · pith_short_8: 2ICQCK7P

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/2ICQCK7PQ2SMPTQH3N7DQ4VM7M \
  | 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: d205012bef86a4c7ce07db7e3872acfb1c64a54bb32736947abc74cc51e1009e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c19e3a8b9bbdb29744166fea608648a1d4bf91494cfa779b999ea3c48d8b01",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2002-12-22T21:22:47Z",
    "title_canon_sha256": "afa902268f39736f268806d32ca7a023e52dc4f68a16b096c5f5b3c393616d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212312",
    "kind": "arxiv",
    "version": 6
  }
}