Pith Number

pith:F7CAZEBT

pith:2005:F7CAZEBTWLKADHFUUN5TRVKSWJ

not attested not anchored not stored refs pending

Scale invariant energy smoothing estimates for the Schr\"odinger Equation with small Magnetic Potential

Mirko Tarulli, Vladimir Georgiev

arxiv:math/0509015 v1 · 2005-09-01 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7CAZEBTWLKADHFUUN5TRVKSWJ}

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	2026-05-18T04:41:54.039018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc40c9033b2d4019cb4a37b38d552b26b95d981c9dff0c8c2f538ad322c790f

Aliases

arxiv: math/0509015 · arxiv_version: math/0509015v1 · doi: 10.48550/arxiv.math/0509015 · pith_short_12: F7CAZEBTWLKA · pith_short_16: F7CAZEBTWLKADHFU · pith_short_8: F7CAZEBT

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/F7CAZEBTWLKADHFUUN5TRVKSWJ \
  | 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: 2fc40c9033b2d4019cb4a37b38d552b26b95d981c9dff0c8c2f538ad322c790f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123dd27d70b38815ac134d1ba18296e745c08bce3456a5a0b65eb978b9025fcc",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-09-01T12:55:39Z",
    "title_canon_sha256": "c4a4704160dcce5c0898014d6c932fb2922aa3290e4edaeb29ac5cd3f5c284a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509015",
    "kind": "arxiv",
    "version": 1
  }
}