Pith Number

pith:26VH7LWB

pith:2017:26VH7LWB7O5ZZR2X2OSOBU237H

not attested not anchored not stored refs pending

On inverse powers of graphs and topological implications of Hedetniemi's conjecture

Marcin Wrochna

arxiv:1712.03196 v2 · 2017-12-08 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26VH7LWB7O5ZZR2X2OSOBU237H}

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	2026-05-17T23:46:19.904002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7aa7faec1fbbb9cc757d3a4e0d35bf9d8745e8cbf4b7c006e57dd83ff4dc059

Aliases

arxiv: 1712.03196 · arxiv_version: 1712.03196v2 · doi: 10.48550/arxiv.1712.03196 · pith_short_12: 26VH7LWB7O5Z · pith_short_16: 26VH7LWB7O5ZZR2X · pith_short_8: 26VH7LWB

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/26VH7LWB7O5ZZR2X2OSOBU237H \
  | 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: d7aa7faec1fbbb9cc757d3a4e0d35bf9d8745e8cbf4b7c006e57dd83ff4dc059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ec7b8b834d57d99db2c40dc6d801eaa49d49c5aa0749988b8b785921da860e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-08T17:48:19Z",
    "title_canon_sha256": "aedc27fdc83d5fbc15901971d5440ed6d00105e59f65ddf8f80ed104c4254403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03196",
    "kind": "arxiv",
    "version": 2
  }
}