Pith Number

pith:QFCEUGE7

pith:2013:QFCEUGE7ETMYZLVOLWTT34CUFD

not attested not anchored not stored refs pending

A spectral bound for graph irregularity

Felix Goldberg

arxiv:1308.3867 v1 · 2013-08-18 · 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{QFCEUGE7ETMYZLVOLWTT34CUFD}

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	2026-05-18T03:15:42.303011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81444a189f24d98caeae5da73df05428cfaa3ea76881f39ed3f87aff52398d6a

Aliases

arxiv: 1308.3867 · arxiv_version: 1308.3867v1 · doi: 10.48550/arxiv.1308.3867 · pith_short_12: QFCEUGE7ETMY · pith_short_16: QFCEUGE7ETMYZLVO · pith_short_8: QFCEUGE7

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/QFCEUGE7ETMYZLVOLWTT34CUFD \
  | 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: 81444a189f24d98caeae5da73df05428cfaa3ea76881f39ed3f87aff52398d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac31870ebef546df63585c445436e888fc519c2ad6630342f4e338b01876c091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-18T15:07:13Z",
    "title_canon_sha256": "d63505825c3b11b9e23bb81d1b5be4d9ca4063a83a28d882bfba252e2d826577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3867",
    "kind": "arxiv",
    "version": 1
  }
}