Pith Number

pith:63EOZ3EQ

pith:2026:63EOZ3EQ3O6LOXP6KMB3MVGKFJ

not attested not anchored not stored refs pending

Spectral radius and edge-disjoint connected factors of graphs

Wenqian Zhang, Xinying Tang

arxiv:2605.23737 v1 · 2026-05-22 · 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{63EOZ3EQ3O6LOXP6KMB3MVGKFJ}

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	2026-05-25T02:02:29.256268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c8ecec90dbbcb75dfe5303b654ca2a650064e218164ccccdb6c4ffca492c78

Aliases

arxiv: 2605.23737 · arxiv_version: 2605.23737v1 · doi: 10.48550/arxiv.2605.23737 · pith_short_12: 63EOZ3EQ3O6L · pith_short_16: 63EOZ3EQ3O6LOXP6 · pith_short_8: 63EOZ3EQ

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/63EOZ3EQ3O6LOXP6KMB3MVGKFJ \
  | 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: f6c8ecec90dbbcb75dfe5303b654ca2a650064e218164ccccdb6c4ffca492c78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9863dad6c1b64f0e682cab296ddb3d10487ed2328dcf680ebd3adc9266ee8b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-22T15:13:35Z",
    "title_canon_sha256": "6951e8c3650cc8298c25c2c10299ebec9e2e9a9d4d7156217543e4782ef8ecd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23737",
    "kind": "arxiv",
    "version": 1
  }
}