Pith Number

pith:VRGMVVDM

pith:2024:VRGMVVDM2VOW6HMGTXBODL5I4I

not attested not anchored not stored refs pending

Long induced paths in $K_{s, s}$-free graphs

Aleksa Milojevi\'c, Benny Sudakov, Istv\'an Tomon, Zach Hunter

arxiv:2411.19173 v2 · 2024-11-28 · 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{VRGMVVDM2VOW6HMGTXBODL5I4I}

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

Graph classes through the lens of logic

Receipt and verification

First computed	2026-07-05T12:02:38.090135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4ccad46cd55d6f1d869dc2e1afa8e2046d6fe2da7b67676a07d7ddfd62f454

Aliases

arxiv: 2411.19173 · arxiv_version: 2411.19173v2 · doi: 10.48550/arxiv.2411.19173 · pith_short_12: VRGMVVDM2VOW · pith_short_16: VRGMVVDM2VOW6HMG · pith_short_8: VRGMVVDM

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/VRGMVVDM2VOW6HMGTXBODL5I4I \
  | 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: ac4ccad46cd55d6f1d869dc2e1afa8e2046d6fe2da7b67676a07d7ddfd62f454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17319aec3ab4c49c15a04842a4a51c091ff18e685dc9a59867dec3480f06c4c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-28T14:24:13Z",
    "title_canon_sha256": "ba775df8837be5b921f614600fdf5cd4f25037cd0ea38c4512f77e9697fdc74e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19173",
    "kind": "arxiv",
    "version": 2
  }
}