Pith Number

pith:V556ZQP4

pith:2018:V556ZQP4NEOIRICJZKBRMDXURU

not attested not anchored not stored refs pending

Neighborhood complexes, homotopy test graphs and a contribution to a conjecture of Hedetniemi

Samir Shukla

arxiv:1810.00648 v2 · 2018-10-01 · 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{V556ZQP4NEOIRICJZKBRMDXURU}

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	2026-05-18T00:03:14.631704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7becc1fc691c88a049ca83160ef48d23eceaadf674f39e1bb4f3744b7a1887

Aliases

arxiv: 1810.00648 · arxiv_version: 1810.00648v2 · doi: 10.48550/arxiv.1810.00648 · pith_short_12: V556ZQP4NEOI · pith_short_16: V556ZQP4NEOIRICJ · pith_short_8: V556ZQP4

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/V556ZQP4NEOIRICJZKBRMDXURU \
  | 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: af7becc1fc691c88a049ca83160ef48d23eceaadf674f39e1bb4f3744b7a1887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d1235b8d716ec2c25a8245d6ea2c918d3cb05c3e2b1728a776f4c4b179759b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-01T12:18:17Z",
    "title_canon_sha256": "197a29b63f12c08d2b64b000db7c2600618ff48d5bff09202dcaebe43e78a4f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00648",
    "kind": "arxiv",
    "version": 2
  }
}