Pith Number

pith:K2DOBYB2

pith:2019:K2DOBYB26XQZ2WBT47NRUZY7KC

not attested not anchored not stored refs pending

Triangle-creation processes on cubic graphs

Catherine Greenhill, Colin Cooper, Martin Dyer

arxiv:1905.04490 v1 · 2019-05-11 · cs.DM · 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{K2DOBYB26XQZ2WBT47NRUZY7KC}

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	2026-05-17T23:46:24.655066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5686e0e03af5e19d5833e7db1a671f509b277357691d37834d5550a499d3585d

Aliases

arxiv: 1905.04490 · arxiv_version: 1905.04490v1 · doi: 10.48550/arxiv.1905.04490 · pith_short_12: K2DOBYB26XQZ · pith_short_16: K2DOBYB26XQZ2WBT · pith_short_8: K2DOBYB2

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/K2DOBYB26XQZ2WBT47NRUZY7KC \
  | 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: 5686e0e03af5e19d5833e7db1a671f509b277357691d37834d5550a499d3585d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d963f15f38a890ed20ca210144ce7dc66ddf680d34f717966655c3556efe36",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-05-11T10:11:32Z",
    "title_canon_sha256": "05fc3c7253699387f055b847b59d7b401263cd98819e947ac09e20e64ebe80e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04490",
    "kind": "arxiv",
    "version": 1
  }
}