Pith Number

pith:QKIEY4KU

pith:2010:QKIEY4KUIDLW555JX24UOKGGJZ

not attested not anchored not stored refs pending

Periodic Jacobi operator with finitely supported perturbations

Alexei Iantchenko, Evgeny Korotyaev

arxiv:1006.1538 v1 · 2010-06-08 · math.SP · math-ph · 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{QKIEY4KUIDLW555JX24UOKGGJZ}

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	2026-05-18T04:09:35.140845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82904c715440d76ef7a9beb94728c64e6021af9f29518ccc069ec49d582778a6

Aliases

arxiv: 1006.1538 · arxiv_version: 1006.1538v1 · doi: 10.48550/arxiv.1006.1538 · pith_short_12: QKIEY4KUIDLW · pith_short_16: QKIEY4KUIDLW555J · pith_short_8: QKIEY4KU

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/QKIEY4KUIDLW555JX24UOKGGJZ \
  | 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: 82904c715440d76ef7a9beb94728c64e6021af9f29518ccc069ec49d582778a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0969ff342420379cf274c548d6f6a2edf85f7e34f4bf7b7306216f902be6757",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-06-08T11:51:45Z",
    "title_canon_sha256": "f6ff991f40ee8bd7b2555e35c8de1fa857c598a49a83dd4b5073b505690e4fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1538",
    "kind": "arxiv",
    "version": 1
  }
}