Pith Number

pith:7JASUQV3

pith:2017:7JASUQV3LSV3OBVQBMD52J2DHE

not attested not anchored not stored refs pending

On eccentricity version of Laplacian energy of a graph

Nilanjan De

arxiv:1701.02000 v1 · 2017-01-08 · cs.DM · 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{7JASUQV3LSV3OBVQBMD52J2DHE}

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	2026-05-18T00:53:12.863080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa412a42bb5cabb706b00b07dd274339059c5065c385790794a524febc409e7f

Aliases

arxiv: 1701.02000 · arxiv_version: 1701.02000v1 · doi: 10.48550/arxiv.1701.02000 · pith_short_12: 7JASUQV3LSV3 · pith_short_16: 7JASUQV3LSV3OBVQ · pith_short_8: 7JASUQV3

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/7JASUQV3LSV3OBVQBMD52J2DHE \
  | 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: fa412a42bb5cabb706b00b07dd274339059c5065c385790794a524febc409e7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "768c469b9dd76032c08c48aa5521c2035ff84fa99be545c839adf79d28488141",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-01-08T19:08:49Z",
    "title_canon_sha256": "f79766da22daa816a4b22673788f7782f967ea4ce5ba225542f0b107996baaef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02000",
    "kind": "arxiv",
    "version": 1
  }
}