Pith Number

pith:YOR3H3I7

pith:2016:YOR3H3I7LIAPVYQORTKBHQK33Q

not attested not anchored not stored refs pending

Proper colouring Painter-Builder game

Cl\'ement Requil\'e, Ma{\l}gorzata Bednarska-Bzd\k{e}ga, Michael Krivelevich, Viola M\'esz\'aros

arxiv:1612.02156 v3 · 2016-12-07 · 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{YOR3H3I7LIAPVYQORTKBHQK33Q}

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	2026-05-18T00:31:13.605504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a3b3ed1f5a00fae20e8cd413c15bdc0c63527eafd5bb0093dcc0e6c368d490

Aliases

arxiv: 1612.02156 · arxiv_version: 1612.02156v3 · doi: 10.48550/arxiv.1612.02156 · pith_short_12: YOR3H3I7LIAP · pith_short_16: YOR3H3I7LIAPVYQO · pith_short_8: YOR3H3I7

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/YOR3H3I7LIAPVYQORTKBHQK33Q \
  | 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: c3a3b3ed1f5a00fae20e8cd413c15bdc0c63527eafd5bb0093dcc0e6c368d490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc33fe81a52242defa62a1eb11410259ac9b891219e5028bb8f3fb98916338f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-07T09:04:55Z",
    "title_canon_sha256": "38517f94af319f8dbee2ad2c7dc33f854abb64ad37b1f119e0891f3f2f34c75c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02156",
    "kind": "arxiv",
    "version": 3
  }
}