Pith Number

pith:5K4ZCMCC

pith:2014:5K4ZCMCC7BNPFI2J6XXTIETBXC

not attested not anchored not stored refs pending

Generalized laminar families and certain forbidden matrices

Peter Dukes

arxiv:1406.3077 v1 · 2014-06-11 · 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{5K4ZCMCC7BNPFI2J6XXTIETBXC}

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	2026-05-18T02:49:53.125375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab9913042f85af2a349f5ef341261b8ac5ab325346a235bb9baaa86ee403f43

Aliases

arxiv: 1406.3077 · arxiv_version: 1406.3077v1 · doi: 10.48550/arxiv.1406.3077 · pith_short_12: 5K4ZCMCC7BNP · pith_short_16: 5K4ZCMCC7BNPFI2J · pith_short_8: 5K4ZCMCC

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/5K4ZCMCC7BNPFI2J6XXTIETBXC \
  | 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: eab9913042f85af2a349f5ef341261b8ac5ab325346a235bb9baaa86ee403f43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f239b81b2d17a5edfac43e7068c66ebf81b032f16fb1e9156ae4c1bcb916b92c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-11T22:07:53Z",
    "title_canon_sha256": "dfdcd5cd741846c5b73ec1f6506a57e88af43af8825c8eaa9ef62d6181a6a3bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3077",
    "kind": "arxiv",
    "version": 1
  }
}