Pith Number

pith:5B4E47WS

pith:2011:5B4E47WSSMYAEZ3JCGUXPKGQST

not attested not anchored not stored refs pending

Inverse problems, trace formulae for discrete Schr\"odinger operators

Evgeny Korotyaev, Hiroshi Isozaki

arxiv:1103.2193 v2 · 2011-03-11 · 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{5B4E47WSSMYAEZ3JCGUXPKGQST}

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	2026-05-18T04:13:15.902946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8784e7ed2933002676911a977a8d094cf522071bdac77ef8494b78c6307420a

Aliases

arxiv: 1103.2193 · arxiv_version: 1103.2193v2 · doi: 10.48550/arxiv.1103.2193 · pith_short_12: 5B4E47WSSMYA · pith_short_16: 5B4E47WSSMYAEZ3J · pith_short_8: 5B4E47WS

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/5B4E47WSSMYAEZ3JCGUXPKGQST \
  | 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: e8784e7ed2933002676911a977a8d094cf522071bdac77ef8494b78c6307420a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eae3e8f0d90d901aaae1e7cbdec1e378beeeb6150760e21b8da37d1b9b5585e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-03-11T03:36:02Z",
    "title_canon_sha256": "e060f1201c75c9a50b491c0ee8f3d6dd25e880b53466e8d0630e46bba4ebf0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2193",
    "kind": "arxiv",
    "version": 2
  }
}