Pith Number

pith:FHC3GVBX

pith:2025:FHC3GVBXTYOBLGNVJIW2YVIQGR

not attested not anchored not stored refs pending

Anti-Ramsey Numbers for Spanning Linear Forests of 3-Vertex Paths and Matchings

Ali Ghalavand, Xueliang Li

arxiv:2509.25949 v3 · 2025-09-30 · 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{FHC3GVBXTYOBLGNVJIW2YVIQGR}

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	2026-05-18T03:09:34.342759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c5b354379e1c1599b54a2dac55103441b0352d7f75b4a19fbf2e5aabca2c3b

Aliases

arxiv: 2509.25949 · arxiv_version: 2509.25949v3 · doi: 10.48550/arxiv.2509.25949 · pith_short_12: FHC3GVBXTYOB · pith_short_16: FHC3GVBXTYOBLGNV · pith_short_8: FHC3GVBX

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/FHC3GVBXTYOBLGNVJIW2YVIQGR \
  | 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: 29c5b354379e1c1599b54a2dac55103441b0352d7f75b4a19fbf2e5aabca2c3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c9c25712fca27e08cf83f39463b4e492f3d51e60d71172ef30967557595206",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-30T08:44:23Z",
    "title_canon_sha256": "b704fc754a1c284cfa853756d67f0e6618b27620fca2e50bfd3b24ed75315177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.25949",
    "kind": "arxiv",
    "version": 3
  }
}