Pith Number

pith:73J7KMHY

pith:2025:73J7KMHYSN536H5UYFMRZXFG6R

not attested not anchored not stored refs pending

Generalized Tur\'an problem for directed cycles

Andrzej Grzesik, Bart{\l}omiej Kielak, Justyna Jaworska, Piotr Kuc, Tomasz \'Slusarczyk

arxiv:2505.22189 v1 · 2025-05-28 · 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{73J7KMHYSN536H5UYFMRZXFG6R}

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	2026-07-05T11:11:11.144762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed3f530f8937bbf1fb4c1591cdca6f4550d1e164058ffc1fe516987ab36eb2a

Aliases

arxiv: 2505.22189 · arxiv_version: 2505.22189v1 · doi: 10.48550/arxiv.2505.22189 · pith_short_12: 73J7KMHYSN53 · pith_short_16: 73J7KMHYSN536H5U · pith_short_8: 73J7KMHY

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/73J7KMHYSN536H5UYFMRZXFG6R \
  | 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: fed3f530f8937bbf1fb4c1591cdca6f4550d1e164058ffc1fe516987ab36eb2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed550d9b831c357619c91050a8a543469c3fc3837671eb65bf849e931c47ae6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-28T10:02:29Z",
    "title_canon_sha256": "08a40258a4d40d642ab535241898bbe6eccb6224ea24f2823fac8fa9630c1faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22189",
    "kind": "arxiv",
    "version": 1
  }
}