Pith Number

pith:CV7UWV2Y

pith:2018:CV7UWV2YGOCSMNDWSBDEEASFYN

not attested not anchored not stored refs pending

Grundy dominating sequences on $X$-join product

Graciela Nasini, Pablo Torres

arxiv:1810.02737 v1 · 2018-10-05 · 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{CV7UWV2YGOCSMNDWSBDEEASFYN}

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	2026-05-18T00:04:00.793351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

157f4b575833852634769046420245c3797f7ae527d2e429bc5475aa5b722616

Aliases

arxiv: 1810.02737 · arxiv_version: 1810.02737v1 · doi: 10.48550/arxiv.1810.02737 · pith_short_12: CV7UWV2YGOCS · pith_short_16: CV7UWV2YGOCSMNDW · pith_short_8: CV7UWV2Y

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/CV7UWV2YGOCSMNDWSBDEEASFYN \
  | 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: 157f4b575833852634769046420245c3797f7ae527d2e429bc5475aa5b722616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbf28e9bca8bd8d8bdcce85553799c5073b501bc37a00f3f6ceedb511d3ba63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-05T15:05:34Z",
    "title_canon_sha256": "a7fb773e3eae929a274da3e54a4dadcb18375005b6785d148328a856932ee0cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02737",
    "kind": "arxiv",
    "version": 1
  }
}