Pith Number

pith:RYD77NGZ

pith:2026:RYD77NGZ256V5YIOCCHHSZRNW4

not attested not anchored not stored refs pending

The Second Largest Eigenvalue of Stiffness Matrices of Normalized Complete Frameworks

Lu Lu, Tingting Wang

arxiv:2607.05472 v1 · 2026-07-06 · 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{RYD77NGZ256V5YIOCCHHSZRNW4}

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	2026-07-08T01:18:11.206712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e07ffb4d9d77d5ee10e108e79662db7000b4e25a690b6e112edc7dd7dc1c29e

Aliases

arxiv: 2607.05472 · arxiv_version: 2607.05472v1 · doi: 10.48550/arxiv.2607.05472 · pith_short_12: RYD77NGZ256V · pith_short_16: RYD77NGZ256V5YIO · pith_short_8: RYD77NGZ

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/RYD77NGZ256V5YIOCCHHSZRNW4 \
  | 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: 8e07ffb4d9d77d5ee10e108e79662db7000b4e25a690b6e112edc7dd7dc1c29e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b31a666377629de90685a38bd5c5f214d5466b5f85618b64c80c7d609af44964",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-06T08:53:37Z",
    "title_canon_sha256": "b87aaf0411c71b7e074c41d365571d02504f4e7a5298cf1651d3938bc9b29183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05472",
    "kind": "arxiv",
    "version": 1
  }
}