Pith Number

pith:S6PGR3IF

pith:2021:S6PGR3IFJQ27WFOZQW7CA6SDGQ

not attested not anchored not stored refs pending

Mixing colourings in $2K_2$-free graphs

Carl Feghali, Owen Merkel

arxiv:2108.00001 v1 · 2021-08-02 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6PGR3IFJQ27WFOZQW7CA6SDGQ}

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	2026-07-05T03:02:18.310866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979e68ed054c35fb15d985be207a43340df23dad9dfd31946d4b1f6e7f8d3077

Aliases

arxiv: 2108.00001 · arxiv_version: 2108.00001v1 · doi: 10.48550/arxiv.2108.00001 · pith_short_12: S6PGR3IFJQ27 · pith_short_16: S6PGR3IFJQ27WFOZ · pith_short_8: S6PGR3IF

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/S6PGR3IFJQ27WFOZQW7CA6SDGQ \
  | 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: 979e68ed054c35fb15d985be207a43340df23dad9dfd31946d4b1f6e7f8d3077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab6300b5cac4a7ed9eb33a034e647eb98cad78c1eb1e05c241217f25edacb710",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-02T15:04:31Z",
    "title_canon_sha256": "f648a18333a741f6de1c1b319c17b4e03c847e625c1fcefc1ece2f46e048d57b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.00001",
    "kind": "arxiv",
    "version": 1
  }
}