Pith Number

pith:CZ76DXV2

pith:2026:CZ76DXV2BBI2M7ZX57HJ5FT3XS

not attested not anchored not stored refs pending

Rainbow panconnectivity in a graph collection

Lihua You, Menghan Ma, Xiaoxue Zhang

arxiv:2605.25907 v1 · 2026-05-25 · 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{CZ76DXV2BBI2M7ZX57HJ5FT3XS}

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	2026-05-26T02:05:17.831183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167fe1deba0851a67f37efce9e967bbcaae65abea4d380f163eba8a9eca15490

Aliases

arxiv: 2605.25907 · arxiv_version: 2605.25907v1 · doi: 10.48550/arxiv.2605.25907 · pith_short_12: CZ76DXV2BBI2 · pith_short_16: CZ76DXV2BBI2M7ZX · pith_short_8: CZ76DXV2

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/CZ76DXV2BBI2M7ZX57HJ5FT3XS \
  | 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: 167fe1deba0851a67f37efce9e967bbcaae65abea4d380f163eba8a9eca15490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee1bc34ce369b189e896bc9666708d32969fc1b78568d23b66005b6c9ff09500",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-25T14:42:49Z",
    "title_canon_sha256": "fc6e88523890194f1ceea648436fdea54a0de600f8ee3b54929b97599a960fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25907",
    "kind": "arxiv",
    "version": 1
  }
}