Pith Number

pith:ZDYHDF5E

pith:2013:ZDYHDF5EHZSFZFSWNC6LQNYYPP

not attested not anchored not stored refs pending

Set Systems Containing Many Maximal Chains

Imre Leader, J. Robert Johnson, Paul A. Russell

arxiv:1309.4643 v1 · 2013-09-18 · 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{ZDYHDF5EHZSFZFSWNC6LQNYYPP}

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	2026-05-17T23:53:35.311040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8f07197a43e645c965668bcb837187bde2585a7edf4d0cb0c2c2a18c95c17a9

Aliases

arxiv: 1309.4643 · arxiv_version: 1309.4643v1 · doi: 10.48550/arxiv.1309.4643 · pith_short_12: ZDYHDF5EHZSF · pith_short_16: ZDYHDF5EHZSFZFSW · pith_short_8: ZDYHDF5E

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/ZDYHDF5EHZSFZFSWNC6LQNYYPP \
  | 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: c8f07197a43e645c965668bcb837187bde2585a7edf4d0cb0c2c2a18c95c17a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2512a4de76ee4f37ac9f0f6b7a3bf53052b3683335817f93e65f91dce2e805c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-18T13:47:48Z",
    "title_canon_sha256": "5f11b96a5d4786fe56cbe7c173b2552cf1722db84da71248dd4d1a6493f82f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4643",
    "kind": "arxiv",
    "version": 1
  }
}