Pith Number

pith:EXDWSBZT

pith:2004:EXDWSBZTBWNJRMWZGXM3KVLIVF

not attested not anchored not stored refs pending

Strichartz estimates for the Wave and Schrodinger Equations with Potentials of Critical Decay

A. Shadi Tahvildar-Zadeh, Fabrice Planchon, John G. Stalker, Nicolas Burq

arxiv:math/0401019 v2 · 2004-01-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXDWSBZTBWNJRMWZGXM3KVLIVF}

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	2026-05-18T04:41:05.464072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c76907330d9a98b2d935d9b55568a94e96af3d86fb6d7a94e893ef92a0eee4

Aliases

arxiv: math/0401019 · arxiv_version: math/0401019v2 · doi: 10.48550/arxiv.math/0401019 · pith_short_12: EXDWSBZTBWNJ · pith_short_16: EXDWSBZTBWNJRMWZ · pith_short_8: EXDWSBZT

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/EXDWSBZTBWNJRMWZGXM3KVLIVF \
  | 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: 25c76907330d9a98b2d935d9b55568a94e96af3d86fb6d7a94e893ef92a0eee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26822f309d19aa117ebd015366921479cd553caf38f8ed94772c11a107ac9e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2004-01-04T06:44:24Z",
    "title_canon_sha256": "66f4075f6d3e61de315fb1e5b3aaeff83aa200567a742ce2ca1d504b08266ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401019",
    "kind": "arxiv",
    "version": 2
  }
}