Pith Number

pith:LKDBZTYV

pith:2017:LKDBZTYV74MFOVBMSJ5W3J5TBJ

not attested not anchored not stored refs pending

Spectral Estimates for Infinite Quantum Graphs

Aleksey Kostenko, Noema Nicolussi

arxiv:1711.02428 v2 · 2017-11-07 · math.SP · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKDBZTYV74MFOVBMSJ5W3J5TBJ}

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	2026-05-17T23:58:19.558712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a861ccf15ff1857542c927b6da7b30a40af56f8e7ded97007ada88ded17364e

Aliases

arxiv: 1711.02428 · arxiv_version: 1711.02428v2 · doi: 10.48550/arxiv.1711.02428 · pith_short_12: LKDBZTYV74MF · pith_short_16: LKDBZTYV74MFOVBM · pith_short_8: LKDBZTYV

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/LKDBZTYV74MFOVBMSJ5W3J5TBJ \
  | 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: 5a861ccf15ff1857542c927b6da7b30a40af56f8e7ded97007ada88ded17364e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceae520834e2e8c212f7a4bc37bab3a2bf66eb830cb3f548adeed84328b3ad1a",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-07T12:15:36Z",
    "title_canon_sha256": "691939ef24d2359ed5c72766649d732fc5dc3326b7d45c2e8b5f4fac6d31c6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02428",
    "kind": "arxiv",
    "version": 2
  }
}