Pith Number

pith:JHIOR4RC

pith:2018:JHIOR4RCV2ATEGKUWY2XV63NXS

not attested not anchored not stored refs pending

Complete Semiclassical Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators

Victor Ivrii

arxiv:1808.01619 v1 · 2018-08-05 · 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{JHIOR4RCV2ATEGKUWY2XV63NXS}

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	2026-05-18T00:08:52.411754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d0e8f222ae81321954b6357afb6dbc989da242fb27daa6db263199f4a8e1a0

Aliases

arxiv: 1808.01619 · arxiv_version: 1808.01619v1 · doi: 10.48550/arxiv.1808.01619 · pith_short_12: JHIOR4RCV2AT · pith_short_16: JHIOR4RCV2ATEGKU · pith_short_8: JHIOR4RC

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/JHIOR4RCV2ATEGKUWY2XV63NXS \
  | 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: 49d0e8f222ae81321954b6357afb6dbc989da242fb27daa6db263199f4a8e1a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1ec28bb3b1b05f93b7f84fcd46855087ac203cd09e22bbccf291c9fe3e36ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-08-05T14:09:05Z",
    "title_canon_sha256": "61f7a396dc9b1edd6bd2c46158f0c44ef9db7d891c04d2de9d475d956f0afef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01619",
    "kind": "arxiv",
    "version": 1
  }
}