Pith Number

pith:4Z6D4KUC

pith:2019:4Z6D4KUCFU66SWD2WRCQXO7BJX

not attested not anchored not stored refs pending

Multicolour chain avoidance in the boolean lattice

Hunter Spink, Marius Tiba

arxiv:1904.04080 v2 · 2019-04-08 · 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{4Z6D4KUCFU66SWD2WRCQXO7BJX}

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	2026-05-17T23:47:08.363720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67c3e2a822d3de9587ab4450bbbe14df1ef655248d016db4588875dee94ab9d

Aliases

arxiv: 1904.04080 · arxiv_version: 1904.04080v2 · doi: 10.48550/arxiv.1904.04080 · pith_short_12: 4Z6D4KUCFU66 · pith_short_16: 4Z6D4KUCFU66SWD2 · pith_short_8: 4Z6D4KUC

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/4Z6D4KUCFU66SWD2WRCQXO7BJX \
  | 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: e67c3e2a822d3de9587ab4450bbbe14df1ef655248d016db4588875dee94ab9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c452e08f4ce85dc2de2ed808ddfde5eb3073aa1bf827a844f93a1aec6a01787f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-08T13:58:37Z",
    "title_canon_sha256": "5909cfbd877f5b3717c87fcd13fbfd969c3882b1506fc3f9cf2d2fe59609e164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04080",
    "kind": "arxiv",
    "version": 2
  }
}