Pith Number

pith:6T4EHOTA

pith:2017:6T4EHOTAKFOVLIVQLW3JXYTJW3

not attested not anchored not stored refs pending

Edge connectivity and the spectral gap of combinatorial and quantum graphs

Delio Mugnolo, Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov

arxiv:1702.05264 v1 · 2017-02-17 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6T4EHOTAKFOVLIVQLW3JXYTJW3}

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	2026-05-17T23:44:33.101331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4f843ba60515d55a2b05db69be269b6cf8af7aca91330dfcc1390a729418e98

Aliases

arxiv: 1702.05264 · arxiv_version: 1702.05264v1 · doi: 10.48550/arxiv.1702.05264 · pith_short_12: 6T4EHOTAKFOV · pith_short_16: 6T4EHOTAKFOVLIVQ · pith_short_8: 6T4EHOTA

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/6T4EHOTAKFOVLIVQLW3JXYTJW3 \
  | 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: f4f843ba60515d55a2b05db69be269b6cf8af7aca91330dfcc1390a729418e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50d5202f6bd9f94d3b44d5e73e433217e6d895ae09f4b10c2c99bedcc58677a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-02-17T09:13:41Z",
    "title_canon_sha256": "e946121dc61c283b30c30959e5b384fceccf73739575d38fff8d9e79461c78d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05264",
    "kind": "arxiv",
    "version": 1
  }
}