Pith Number

pith:WU74GY5K

pith:2024:WU74GY5KSGZEMCIRKWJSSMMGVF

not attested not anchored not stored refs pending

Multi-cyclic graphs in the random graph process with restricted budget

Daniel I\v{l}kovi\v{c}, Jared Le\'on, Xichao Shu

arxiv:2412.17620 v2 · 2024-12-23 · 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{WU74GY5KSGZEMCIRKWJSSMMGVF}

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

Arithmetic progressions in a random set on a budget

Receipt and verification

First computed	2026-07-05T10:19:35.099590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b53fc363aa91b24609115593293186a95d33baac887da463b46120135a0c6956

Aliases

arxiv: 2412.17620 · arxiv_version: 2412.17620v2 · doi: 10.48550/arxiv.2412.17620 · pith_short_12: WU74GY5KSGZE · pith_short_16: WU74GY5KSGZEMCIR · pith_short_8: WU74GY5K

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/WU74GY5KSGZEMCIRKWJSSMMGVF \
  | 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: b53fc363aa91b24609115593293186a95d33baac887da463b46120135a0c6956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f65e53d9efb53647ae10a52858b992ab6a5c8722c1af50520e772ec9e56a59",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-23T14:44:45Z",
    "title_canon_sha256": "76dd82f294e2acf1ee2598cf41346d2bb76b5f6046b0d4d7fc480d201c4fd079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17620",
    "kind": "arxiv",
    "version": 2
  }
}