Pith Number

pith:XF545D2M

pith:2012:XF545D2MDJU22TNDNWIMC5U2MD

not attested not anchored not stored refs pending

Strichartz Estimates and Maximal Operators for the Wave Equation in R^3

Marius Beceanu, Michael Goldberg

arxiv:1212.0568 v2 · 2012-12-03 · 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{XF545D2MDJU22TNDNWIMC5U2MD}

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	2026-05-18T01:07:21.421898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97bce8f4c1a69ad4da36d90c1769a60f3c04deef4cf654300c619b20b12bd2b

Aliases

arxiv: 1212.0568 · arxiv_version: 1212.0568v2 · doi: 10.48550/arxiv.1212.0568 · pith_short_12: XF545D2MDJU2 · pith_short_16: XF545D2MDJU22TND · pith_short_8: XF545D2M

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/XF545D2MDJU22TNDNWIMC5U2MD \
  | 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: b97bce8f4c1a69ad4da36d90c1769a60f3c04deef4cf654300c619b20b12bd2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40657763a5cd1416a8a1dc64d1f9f0afc8a5762ab909de19900b75cdf0884cf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-03T21:41:55Z",
    "title_canon_sha256": "0e43a5b282c1c12a7112439a707926fab124d2ef500f8f1c10f7fdbce3b694f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0568",
    "kind": "arxiv",
    "version": 2
  }
}