Pith Number

pith:K55VI34M

pith:2015:K55VI34MGBF4LJJVL4SPFAOMJ2

not attested not anchored not stored refs pending

The spectral index of signed Laplacians and their structural stability

Jared Bronski, K. Paolina Koutsaki, Lee DeVille

arxiv:1503.01069 v2 · 2015-03-03 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K55VI34MGBF4LJJVL4SPFAOMJ2}

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	2026-05-18T02:23:25.955681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

577b546f8c304bc5a5355f24f281cc4eb24b49490614f3b92e8df5144790eba2

Aliases

arxiv: 1503.01069 · arxiv_version: 1503.01069v2 · doi: 10.48550/arxiv.1503.01069 · pith_short_12: K55VI34MGBF4 · pith_short_16: K55VI34MGBF4LJJV · pith_short_8: K55VI34M

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/K55VI34MGBF4LJJVL4SPFAOMJ2 \
  | 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: 577b546f8c304bc5a5355f24f281cc4eb24b49490614f3b92e8df5144790eba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ccb8e9c95147fcac1d2e10956b3027aa86e4477c4b08bcef89f824803814983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-03T19:20:21Z",
    "title_canon_sha256": "18864bb06cd5ced813d7ebe2f5a0af64a7546b3b35246bcd3827c9cd069e2d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01069",
    "kind": "arxiv",
    "version": 2
  }
}