Pith Number

pith:JYZ3EWVL

pith:2012:JYZ3EWVL7G3AI7ZATQAZS3YHFU

not attested not anchored not stored refs pending

On signless Laplacian coefficients of bicyclic graphs

Jie Zhang, Xiao-Dong Zhang

arxiv:1212.5261 v1 · 2012-12-20 · 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{JYZ3EWVL7G3AI7ZATQAZS3YHFU}

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	2026-05-18T03:38:02.341105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e33b25aabf9b6047f209c01996f072d22ae8f264f80c7c77ddfea8d16392e41

Aliases

arxiv: 1212.5261 · arxiv_version: 1212.5261v1 · doi: 10.48550/arxiv.1212.5261 · pith_short_12: JYZ3EWVL7G3A · pith_short_16: JYZ3EWVL7G3AI7ZA · pith_short_8: JYZ3EWVL

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/JYZ3EWVL7G3AI7ZATQAZS3YHFU \
  | 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: 4e33b25aabf9b6047f209c01996f072d22ae8f264f80c7c77ddfea8d16392e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21c8c154da8e884137b0fb334ef85d9633c0f076044b33277a821a6c8720010",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-20T12:51:17Z",
    "title_canon_sha256": "0406f3260e4893e00be2d30667512054b76734968b807f37b44e6407cd303644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5261",
    "kind": "arxiv",
    "version": 1
  }
}