Pith Number

pith:LIM3KDKK

pith:2011:LIM3KDKKGKA2I4QHSZ42B5QOSM

not attested not anchored not stored refs pending

Spectral Properties of Complex Unit Gain Graphs

Nathan Reff

arxiv:1110.4554 v2 · 2011-10-20 · 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{LIM3KDKKGKA2I4QHSZ42B5QOSM}

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	2026-05-18T02:44:32.665842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a19b50d4a3281a472079679a0f60e931b4431b85564dfed2fcd77cd613e3b4a

Aliases

arxiv: 1110.4554 · arxiv_version: 1110.4554v2 · doi: 10.48550/arxiv.1110.4554 · pith_short_12: LIM3KDKKGKA2 · pith_short_16: LIM3KDKKGKA2I4QH · pith_short_8: LIM3KDKK

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/LIM3KDKKGKA2I4QHSZ42B5QOSM \
  | 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: 5a19b50d4a3281a472079679a0f60e931b4431b85564dfed2fcd77cd613e3b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a44581d1903ab6dfba381dc1ee60834eee4f918d80962e8071b1d9528635fc14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-20T15:36:06Z",
    "title_canon_sha256": "6bea69d075e1ed7c8d18461a5a1547f70fb60ec817bb6c469812c294a14868d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4554",
    "kind": "arxiv",
    "version": 2
  }
}