Pith Number

pith:UKT7NUIS

pith:2018:UKT7NUISCW46NTYLXKJTDFK5W2

not attested not anchored not stored refs pending

The (1,2)-step competition graph of a hypertournament

Ruijuan Li, Xiaoting An, Xinhong Zhang

arxiv:1812.01796 v1 · 2018-12-05 · 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{UKT7NUISCW46NTYLXKJTDFK5W2}

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	2026-05-17T23:59:00.610250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a7f6d11215b9e6cf0bba9331955db6ace6ab24062e66e30eb42ccee530f0c5

Aliases

arxiv: 1812.01796 · arxiv_version: 1812.01796v1 · doi: 10.48550/arxiv.1812.01796 · pith_short_12: UKT7NUISCW46 · pith_short_16: UKT7NUISCW46NTYL · pith_short_8: UKT7NUIS

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/UKT7NUISCW46NTYLXKJTDFK5W2 \
  | 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: a2a7f6d11215b9e6cf0bba9331955db6ace6ab24062e66e30eb42ccee530f0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fca9c8cd06d83436d6d0f1ce3a201857e235c9e8b3695c28c07bd9545873b3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-05T03:12:18Z",
    "title_canon_sha256": "01372446bc0d2d0e8b135f741d8cde06cf87f52a35cb95d8b7c019b5baf8dae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01796",
    "kind": "arxiv",
    "version": 1
  }
}