Pith Number

pith:EKUJ57XI

pith:2012:EKUJ57XIPTJC7KMMLZP22MWELQ

not attested not anchored not stored refs pending

Singular Weyl-Titchmarsh-Kodaira Theory for Jacobi Operators

Gerald Teschl, Jonathan Eckhardt

arxiv:1203.5856 v2 · 2012-03-26 · 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{EKUJ57XIPTJC7KMMLZP22MWELQ}

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	2026-05-18T03:06:05.722684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22a89efee87cd22fa98c5e5fad32c45c21778e7b105219526901d3d59a3ace55

Aliases

arxiv: 1203.5856 · arxiv_version: 1203.5856v2 · doi: 10.48550/arxiv.1203.5856 · pith_short_12: EKUJ57XIPTJC · pith_short_16: EKUJ57XIPTJC7KMM · pith_short_8: EKUJ57XI

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/EKUJ57XIPTJC7KMMLZP22MWELQ \
  | 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: 22a89efee87cd22fa98c5e5fad32c45c21778e7b105219526901d3d59a3ace55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b135664b415462287431dc2c9b59a52f38aa8b6f8c7c6085a97b702f86b43ad2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-03-26T16:19:21Z",
    "title_canon_sha256": "729e2c9b32af3460051f074d64234a0ffef5084b35eac9dd20027dbc858090e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5856",
    "kind": "arxiv",
    "version": 2
  }
}