Pith Number

pith:X7KLIGKV

pith:2023:X7KLIGKV4UGK4QARAPQPAAHR5Q

not attested not anchored not stored refs pending

The degree and codegree threshold for generalized triangle and some trees covering

Ran Gu, Shuaichao Wang

arxiv:2307.01647 v1 · 2023-07-04 · 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{X7KLIGKV4UGK4QARAPQPAAHR5Q}

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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.

Cited by

1 paper in Pith

Perfect tilings of 3-graphs with the generalised triangle

Receipt and verification

First computed	2026-07-05T06:27:59.179358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfd4b41955e50cae401103e0f000f1ec0379134c8a5f257b3ab2f847b22a6a0a

Aliases

arxiv: 2307.01647 · arxiv_version: 2307.01647v1 · doi: 10.48550/arxiv.2307.01647 · pith_short_12: X7KLIGKV4UGK · pith_short_16: X7KLIGKV4UGK4QAR · pith_short_8: X7KLIGKV

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/X7KLIGKV4UGK4QARAPQPAAHR5Q \
  | 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: bfd4b41955e50cae401103e0f000f1ec0379134c8a5f257b3ab2f847b22a6a0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a4cc581c21f0e2efdb5946ff49a2c66c341fb07adde61ba0b6b5e953d13bbb6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-04T11:03:02Z",
    "title_canon_sha256": "5b92c8aebf0353b699420096bb95c15d0d9159ff68c4e647220de2fd5a659a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.01647",
    "kind": "arxiv",
    "version": 1
  }
}