Pith Number

pith:45CT4U6C

pith:2014:45CT4U6CUNVR6ZLI4DGB7XXCCW

not attested not anchored not stored refs pending

The existence of designs

Peter Keevash

arxiv:1401.3665 v4 · 2014-01-15 · 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{45CT4U6CUNVR6ZLI4DGB7XXCCW}

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.

Cited by

9 papers in Pith

A Proof of Nash-Williams' Conjecture

On cliques in hypergraphs under bounded $(j,p)$-norm

Universality for rainbow oriented cycles in perturbed digraphs

Fractional clique decompositions of dense balanced multipartite graphs

Short proofs of three combinatorial results in the Johnson scheme

Receipt and verification

First computed	2026-07-05T09:40:50.655152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7453e53c2a36b1f6568e0cc1fdee2158c0a586b8658502c6f59540501ec2afc

Aliases

arxiv: 1401.3665 · arxiv_version: 1401.3665v4 · doi: 10.48550/arxiv.1401.3665 · pith_short_12: 45CT4U6CUNVR · pith_short_16: 45CT4U6CUNVR6ZLI · pith_short_8: 45CT4U6C

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/45CT4U6CUNVR6ZLI4DGB7XXCCW \
  | 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: e7453e53c2a36b1f6568e0cc1fdee2158c0a586b8658502c6f59540501ec2afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23decc1c604a8fe7b04c3d09e6483b6e4645e2ce4c979498da20c243616adfa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-15T16:56:37Z",
    "title_canon_sha256": "33e3a0baf0af1ea55d7b25be9b06188c498a99341270a33c48cbd9eafeaee2e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3665",
    "kind": "arxiv",
    "version": 4
  }
}