Pith Number

pith:L4PQG3R5

pith:2010:L4PQG3R5V3CBRCY4LXFMQTIA6Z

not attested not anchored not stored refs pending

Large data pointwise decay for defocusing semilinear wave equations

Nikodem Szpak, Roger Bieli

arxiv:1002.3623 v1 · 2010-02-18 · 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{L4PQG3R5V3CBRCY4LXFMQTIA6Z}

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.

Cited by

1 paper in Pith

Pointwise decay for semilinear wave equations in $\mathbb{R}^{!+3}$

Receipt and verification

First computed	2026-07-04T17:22:11.544988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1f036e3daec4188b1c5dcac84d00f66013a65f91c3f89a40c7b657243dd0c2

Aliases

arxiv: 1002.3623 · arxiv_version: 1002.3623v1 · doi: 10.48550/arxiv.1002.3623 · pith_short_12: L4PQG3R5V3CB · pith_short_16: L4PQG3R5V3CBRCY4 · pith_short_8: L4PQG3R5

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/L4PQG3R5V3CBRCY4LXFMQTIA6Z \
  | 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: 5f1f036e3daec4188b1c5dcac84d00f66013a65f91c3f89a40c7b657243dd0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c248604b1e60c5b6cd6e2ab572c5cd13482c547e0aec1f94d2c1dcb4470825a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-02-18T21:27:44Z",
    "title_canon_sha256": "5266b4b2cf8f2c3fd221b08dd8d958b525005dce964b8b7aedd9a7c840c7b895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3623",
    "kind": "arxiv",
    "version": 1
  }
}