Pith Number

pith:UH4X42G4

pith:2010:UH4X42G4JTSUP6PJ2QRVTQB27J

not attested not anchored not stored refs pending

Finite sections of random Jacobi operators

Marko Lindner, Steffen Roch

arxiv:1011.0907 v1 · 2010-11-03 · math.NA · 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{UH4X42G4JTSUP6PJ2QRVTQB27J}

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	2026-05-18T04:37:12.134175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f97e68dc4ce547f9e9d42359c03afa6cd86f0ece0d4242ccbd1fb22cba7cb9

Aliases

arxiv: 1011.0907 · arxiv_version: 1011.0907v1 · doi: 10.48550/arxiv.1011.0907 · pith_short_12: UH4X42G4JTSU · pith_short_16: UH4X42G4JTSUP6PJ · pith_short_8: UH4X42G4

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/UH4X42G4JTSUP6PJ2QRVTQB27J \
  | 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: a1f97e68dc4ce547f9e9d42359c03afa6cd86f0ece0d4242ccbd1fb22cba7cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b473bafb6fb194aacfff149663a22a7563d1cee08e790337f172af8a5f09fe",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-11-03T15:06:19Z",
    "title_canon_sha256": "1bc94c3c3be66921965fb3094294f4133ff69ab387daa1f5654dc07b034f0ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0907",
    "kind": "arxiv",
    "version": 1
  }
}