Pith Number

pith:QTJY5OUH

pith:2017:QTJY5OUHSNIZ7EI24RBGX6GXTC

not attested not anchored not stored refs pending

Z2-indices and Hedetniemi's conjecture

Takahiro Matsushita

arxiv:1710.05290 v2 · 2017-10-15 · math.AT · 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{QTJY5OUHSNIZ7EI24RBGX6GXTC}

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	2026-05-17T23:49:53.130279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d38eba8793519f911ae4426bf8d7989f8cb625d8cb44ba3f382f8e6aa4b048

Aliases

arxiv: 1710.05290 · arxiv_version: 1710.05290v2 · doi: 10.48550/arxiv.1710.05290 · pith_short_12: QTJY5OUHSNIZ · pith_short_16: QTJY5OUHSNIZ7EI2 · pith_short_8: QTJY5OUH

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/QTJY5OUHSNIZ7EI24RBGX6GXTC \
  | 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: 84d38eba8793519f911ae4426bf8d7989f8cb625d8cb44ba3f382f8e6aa4b048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672579944ccfb92909bd62104721422c8e79e05dba9cfa3dc2c0667176e0858f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-10-15T06:59:55Z",
    "title_canon_sha256": "1b51fbdf32501399a6a3c891432dc4043a9d34b09b42840b2669b79a46f2c956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05290",
    "kind": "arxiv",
    "version": 2
  }
}