Pith Number

pith:2J7U35AL

pith:2009:2J7U35ALFOHJY3IMJXNSC44GC3

not attested not anchored not stored refs pending

The fractional Schr\"{o}dinger operator and Toeplitz matrices

Agapitos Hatzinikitas

arxiv:0910.5829 v1 · 2009-10-30 · math-ph · math.MP · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2J7U35ALFOHJY3IMJXNSC44GC3}

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	2026-05-18T02:11:01.425151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d27f4df40b2b8e9c6d0c4ddb21738616d193f5a087d1a34682e2ef4332d740ae

Aliases

arxiv: 0910.5829 · arxiv_version: 0910.5829v1 · doi: 10.48550/arxiv.0910.5829 · pith_short_12: 2J7U35ALFOHJ · pith_short_16: 2J7U35ALFOHJY3IM · pith_short_8: 2J7U35AL

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/2J7U35ALFOHJY3IMJXNSC44GC3 \
  | 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: d27f4df40b2b8e9c6d0c4ddb21738616d193f5a087d1a34682e2ef4332d740ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7deb42cfe47b2b65230bd3d67152ddef5b25053785b347713d88d7fbc2135305",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-10-30T09:59:04Z",
    "title_canon_sha256": "a99adbfbc097bbdf9f6c1626e81a60c1c665d2c61bb1c40d01168f02064fc7ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5829",
    "kind": "arxiv",
    "version": 1
  }
}