Pith Number

pith:ULS6O44S

pith:2013:ULS6O44SPSWAAA2HXWI67L62DW

not attested not anchored not stored refs pending

Spectral gap for quantum graphs and their connectivity

Gabriela Malenova, Pavel Kurasov, Sergey Naboko

arxiv:1302.5022 v1 · 2013-02-20 · 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{ULS6O44SPSWAAA2HXWI67L62DW}

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	2026-05-18T01:51:34.882764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e5e773927cac000347bd91efafda1dac1692e43e864bc0e02e2018f8dad8fd

Aliases

arxiv: 1302.5022 · arxiv_version: 1302.5022v1 · doi: 10.48550/arxiv.1302.5022 · pith_short_12: ULS6O44SPSWA · pith_short_16: ULS6O44SPSWAAA2H · pith_short_8: ULS6O44S

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/ULS6O44SPSWAAA2HXWI67L62DW \
  | 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: a2e5e773927cac000347bd91efafda1dac1692e43e864bc0e02e2018f8dad8fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0718c6fa30b3b205a127d591f2862b6595f5dd8766d5b5fc15993a775b847fb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-02-20T16:30:53Z",
    "title_canon_sha256": "6fc8f4b0f14f189f0ba1f14fb2fedd793de9b7ff87474dd155f42d6b8a979e9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5022",
    "kind": "arxiv",
    "version": 1
  }
}