Pith Number

pith:N3ULMTRL

pith:2016:N3ULMTRLLBYH4BYZMUNN3MWSHG

not attested not anchored not stored refs pending

Generalised Mycielski graphs and bounds on chromatic numbers

Claude Tardif, David Wehlau, Gord Simons

arxiv:1601.04642 v1 · 2016-01-18 · 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{N3ULMTRLLBYH4BYZMUNN3MWSHG}

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	2026-05-18T01:22:44.573518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ee8b64e2b58707e0719651addb2d2398a4304cd2c4c959719217e40fc73004a

Aliases

arxiv: 1601.04642 · arxiv_version: 1601.04642v1 · doi: 10.48550/arxiv.1601.04642 · pith_short_12: N3ULMTRLLBYH · pith_short_16: N3ULMTRLLBYH4BYZ · pith_short_8: N3ULMTRL

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/N3ULMTRLLBYH4BYZMUNN3MWSHG \
  | 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: 6ee8b64e2b58707e0719651addb2d2398a4304cd2c4c959719217e40fc73004a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb56a950199be944df83dab1eb4853726560d6d739d4bd546f55cc289e13c2d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-18T18:16:27Z",
    "title_canon_sha256": "f89b460679efcf4dbd15b57c40b4a6601651deeebf982ac1eaea4650a1e9cf91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04642",
    "kind": "arxiv",
    "version": 1
  }
}