Pith Number

pith:3UYGXCDO

pith:2016:3UYGXCDOWXIAGEN3ESZYLSRFPS

not attested not anchored not stored refs pending

On the second smallest and the largest normalized Laplacian eigenvalues of a graph

Ligong Wang, Xiaoguo Tian, Yong Lu

arxiv:1603.04301 v1 · 2016-03-14 · 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{3UYGXCDOWXIAGEN3ESZYLSRFPS}

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	2026-05-18T01:19:07.096570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd306b886eb5d00311bb24b385ca257c94461b37c77b37a7cb6138d6ded8a7d7

Aliases

arxiv: 1603.04301 · arxiv_version: 1603.04301v1 · doi: 10.48550/arxiv.1603.04301 · pith_short_12: 3UYGXCDOWXIA · pith_short_16: 3UYGXCDOWXIAGEN3 · pith_short_8: 3UYGXCDO

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/3UYGXCDOWXIAGEN3ESZYLSRFPS \
  | 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: dd306b886eb5d00311bb24b385ca257c94461b37c77b37a7cb6138d6ded8a7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bdbd650ca6d8e765f59fbcf2dfe3ac8e7569e65ba6b4799eb14d6b93e264007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-14T15:12:27Z",
    "title_canon_sha256": "883ea4c729dbfb6ddf991913c16f219556bde33e746ccf334ee3661e6d955ea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04301",
    "kind": "arxiv",
    "version": 1
  }
}