Pith Number

pith:DQ4TRESI

pith:2012:DQ4TRESIUT5SZEUA5YD7WY2DXC

not attested not anchored not stored refs pending

The least eigenvalues of signless Laplacian of non-bipartite graphs with pendant vertices

Huan Guo, Yi Wang, Yi-Zheng Fan

arxiv:1208.3965 v1 · 2012-08-20 · 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{DQ4TRESIUT5SZEUA5YD7WY2DXC}

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	2026-05-18T02:42:37.537108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c39389248a4fb2c9280ee07fb6343b8a19f225de2408c00db6099d68fe564e0

Aliases

arxiv: 1208.3965 · arxiv_version: 1208.3965v1 · doi: 10.48550/arxiv.1208.3965 · pith_short_12: DQ4TRESIUT5S · pith_short_16: DQ4TRESIUT5SZEUA · pith_short_8: DQ4TRESI

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/DQ4TRESIUT5SZEUA5YD7WY2DXC \
  | 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: 1c39389248a4fb2c9280ee07fb6343b8a19f225de2408c00db6099d68fe564e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "939f90a50b518bae5584d8e6e3852466fa017b4c331c9a92aa5158589b7f84e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-20T10:30:05Z",
    "title_canon_sha256": "28b43d100e99a1ea341f3a241f3ae70c172cef3242c8f662f3398763f685ec5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3965",
    "kind": "arxiv",
    "version": 1
  }
}