Pith Number

pith:CTMBGJ4L

pith:2018:CTMBGJ4LCAIL5OJDUTU46DJM4F

not attested not anchored not stored refs pending

Hedetniemi's conjecture and strongly multiplicative graphs

Claude Tardif, Marcin Wrochna

arxiv:1808.04778 v1 · 2018-08-14 · 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{CTMBGJ4LCAIL5OJDUTU46DJM4F}

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	2026-05-18T00:08:11.771866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d813278b1010beb923a4e9cf0d2ce14e93c7cacdec1b2e17465f892cf489ff

Aliases

arxiv: 1808.04778 · arxiv_version: 1808.04778v1 · doi: 10.48550/arxiv.1808.04778 · pith_short_12: CTMBGJ4LCAIL · pith_short_16: CTMBGJ4LCAIL5OJD · pith_short_8: CTMBGJ4L

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/CTMBGJ4LCAIL5OJDUTU46DJM4F \
  | 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: 14d813278b1010beb923a4e9cf0d2ce14e93c7cacdec1b2e17465f892cf489ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bcd6035e62c5eb6c866edb4b2a0118966c5286d7b4c54f8b5db5c278c9ab36f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-14T16:14:14Z",
    "title_canon_sha256": "edba0dbc436cc11e3d8c1bbc43a7d319baf65d56c9e7561176c6e6023c337e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04778",
    "kind": "arxiv",
    "version": 1
  }
}