Pith Number

pith:CLQRHU67

pith:2022:CLQRHU67R5BTAE55AQBCFZY5CP

not attested not anchored not stored refs pending

Optimal thresholds for Latin squares, Steiner Triple Systems, and edge colorings

Huy Tuan Pham, Vishesh Jain

arxiv:2212.06109 v2 · 2022-12-12 · math.CO · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLQRHU67R5BTAE55AQBCFZY5CP}

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.

Cited by

1 paper in Pith

Robust Hamiltonicity in families of Dirac graphs

Receipt and verification

First computed	2026-07-05T05:26:29.198792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12e113d3df8f433013bd040222e71d13d776773678fb327797b3bc2ad1ecf816

Aliases

arxiv: 2212.06109 · arxiv_version: 2212.06109v2 · doi: 10.48550/arxiv.2212.06109 · pith_short_12: CLQRHU67R5BT · pith_short_16: CLQRHU67R5BTAE55 · pith_short_8: CLQRHU67

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/CLQRHU67R5BTAE55AQBCFZY5CP \
  | 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: 12e113d3df8f433013bd040222e71d13d776773678fb327797b3bc2ad1ecf816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c44bd9fac9b5eb94aa37a8ee2d1a951b3e069f2c89ee10587fafaac41264d4",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-12T18:32:04Z",
    "title_canon_sha256": "ed3c8eb55b100ddc949a52f2a83e0f9153fa416e5a567242f624644da93e93dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.06109",
    "kind": "arxiv",
    "version": 2
  }
}