Pith Number

pith:LLEMQ2DO

pith:2015:LLEMQ2DOHI4PEIUVQJ5CI4JOMG

not attested not anchored not stored refs pending

On the second largest distance eigenvalue of a graph

Jie Xue, Litao Guo, Ruifang Liu

arxiv:1504.04225 v1 · 2015-04-16 · 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{LLEMQ2DOHI4PEIUVQJ5CI4JOMG}

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	2026-05-18T02:18:39.479184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac8c8686e3a38f22295827a24712e61bee31ba6860857e115191fcf8ea85498

Aliases

arxiv: 1504.04225 · arxiv_version: 1504.04225v1 · doi: 10.48550/arxiv.1504.04225 · pith_short_12: LLEMQ2DOHI4P · pith_short_16: LLEMQ2DOHI4PEIUV · pith_short_8: LLEMQ2DO

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/LLEMQ2DOHI4PEIUVQJ5CI4JOMG \
  | 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: 5ac8c8686e3a38f22295827a24712e61bee31ba6860857e115191fcf8ea85498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa761480b6a900dd385d2ece42bbc0756e8c3ecef80ca2d93d12f08bd44cff0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-16T13:39:08Z",
    "title_canon_sha256": "cf66dd4bb0af1ce6db53a4389c3f59e5c28b80a52e77c75cafadbd2311f44613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04225",
    "kind": "arxiv",
    "version": 1
  }
}