Pith Number

pith:IO3NXGNM

pith:2016:IO3NXGNMMDT4LWTSBTF22TXNQV

not attested not anchored not stored refs pending

Spectrum of a singularly perturbed periodic thin waveguide

Andrii Khrabustovskyi, Giuseppe Cardone

arxiv:1608.00440 v1 · 2016-08-01 · math.SP · math-ph · math.AP · 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{IO3NXGNMMDT4LWTSBTF22TXNQV}

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	2026-05-18T01:10:11.775079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b6db99ac60e7c5da720ccbad4eed855a3358a1c5fdb0f39a4e610121c35305

Aliases

arxiv: 1608.00440 · arxiv_version: 1608.00440v1 · doi: 10.48550/arxiv.1608.00440 · pith_short_12: IO3NXGNMMDT4 · pith_short_16: IO3NXGNMMDT4LWTS · pith_short_8: IO3NXGNM

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/IO3NXGNMMDT4LWTSBTF22TXNQV \
  | 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: 43b6db99ac60e7c5da720ccbad4eed855a3358a1c5fdb0f39a4e610121c35305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793da216d8fa5435765faf52f9f8a4f715681be53e881471d18fdac6fa77124e",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-08-01T14:15:31Z",
    "title_canon_sha256": "1191fbe589110c6bb17902c41e76ad71a3b370357686eada924e7fa5bbdf3f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00440",
    "kind": "arxiv",
    "version": 1
  }
}