Pith Number

pith:EFMPUWPG

pith:2005:EFMPUWPGAQRINT7QVTEMQN46OW

not attested not anchored not stored refs pending

Smoothing - Strichartz Estimates for the Schrodinger Equation with small Magnetic Potential

Atanas Stefanov, Mirko Tarulli, Vladimir Georgiev

arxiv:math/0509416 v2 · 2005-09-19 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFMPUWPGAQRINT7QVTEMQN46OW}

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	2026-05-18T04:41:54.030483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2158fa59e6042286cff0acc8c8379e759a7d6bb5e97f5dbd479323b331e9d117

Aliases

arxiv: math/0509416 · arxiv_version: math/0509416v2 · doi: 10.48550/arxiv.math/0509416 · pith_short_12: EFMPUWPGAQRI · pith_short_16: EFMPUWPGAQRINT7Q · pith_short_8: EFMPUWPG

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/EFMPUWPGAQRINT7QVTEMQN46OW \
  | 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: 2158fa59e6042286cff0acc8c8379e759a7d6bb5e97f5dbd479323b331e9d117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59026d1e81675889fe199c7167b41897b9cce47525a5914b35e169ca06325b02",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-09-19T08:32:03Z",
    "title_canon_sha256": "a92f67f5bd3783cf0d845cebeb6f6eb6dfbaec732dd4f8e1cafc323604f8a132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509416",
    "kind": "arxiv",
    "version": 2
  }
}