Pith Number

pith:PACX6LYP

pith:2013:PACX6LYP63LJ4QTFONE2EBXMJZ

not attested not anchored not stored refs pending

More on the skew-spectra of bipartite graphs and Cartesian products of graphs

Huishu Lian, Xiaolin Chen, Xueliang Li

arxiv:1305.3414 v1 · 2013-05-15 · 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{PACX6LYP63LJ4QTFONE2EBXMJZ}

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	2026-05-18T03:25:35.857138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78057f2f0ff6d69e42657349a206ec4e6693228f09a02c82ba57525dc7b0efe7

Aliases

arxiv: 1305.3414 · arxiv_version: 1305.3414v1 · doi: 10.48550/arxiv.1305.3414 · pith_short_12: PACX6LYP63LJ · pith_short_16: PACX6LYP63LJ4QTF · pith_short_8: PACX6LYP

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/PACX6LYP63LJ4QTFONE2EBXMJZ \
  | 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: 78057f2f0ff6d69e42657349a206ec4e6693228f09a02c82ba57525dc7b0efe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e770198904c0b2fb5c5425489c65ca4d23db806957816f99a89c56c7580fe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-15T10:13:44Z",
    "title_canon_sha256": "96d88a369dfdeb343e14b6b5e0d2c1f5e249b5f6630f7077d8bce13d1aa27781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3414",
    "kind": "arxiv",
    "version": 1
  }
}