Pith Number

pith:ZAUKJOEB

pith:2025:ZAUKJOEBFSC4RCL3QX24SFFA3S

not attested not anchored not stored refs pending

Bounds on the game isolation number and exact values for paths and cycles

Csilla Bujt\'as, Michael A. Henning, Sandi Klav\v{z}ar, Tanja Dravec

arxiv:2507.08503 v3 · 2025-07-11 · 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{ZAUKJOEBFSC4RCL3QX24SFFA3S}

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	2026-06-11T01:09:15.129698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c828a4b8812c85c8897b85f5c914a0dc8ff577ce26f0b6161f57f0e6e0d3ee51

Aliases

arxiv: 2507.08503 · arxiv_version: 2507.08503v3 · doi: 10.48550/arxiv.2507.08503 · pith_short_12: ZAUKJOEBFSC4 · pith_short_16: ZAUKJOEBFSC4RCL3 · pith_short_8: ZAUKJOEB

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/ZAUKJOEBFSC4RCL3QX24SFFA3S \
  | 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: c828a4b8812c85c8897b85f5c914a0dc8ff577ce26f0b6161f57f0e6e0d3ee51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6145c3cf36136569c90d3beb06705ab84ed978f9d5358b7b7287b5e02c69b9a4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-11T11:24:46Z",
    "title_canon_sha256": "890fac89e84936299caf2e2714bb01401a2d362351a2a3c09e87f0eabe41fc39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08503",
    "kind": "arxiv",
    "version": 3
  }
}