Pith Number

pith:PCYSMK2Z

pith:2016:PCYSMK2ZU4VQ6FVM75EP7Y4FBK

not attested not anchored not stored refs pending

Strichartz estimates with loss of derivatives under a weak dispersion property for the wave operator

Valentin Samoyeau (LMJL)

arxiv:1605.01250 v1 · 2016-05-04 · 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{PCYSMK2ZU4VQ6FVM75EP7Y4FBK}

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	2026-05-18T01:15:37.367738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b1262b59a72b0f16acff48ffe3850a8835102e446a64ace2ee7474f78cc628

Aliases

arxiv: 1605.01250 · arxiv_version: 1605.01250v1 · doi: 10.48550/arxiv.1605.01250 · pith_short_12: PCYSMK2ZU4VQ · pith_short_16: PCYSMK2ZU4VQ6FVM · pith_short_8: PCYSMK2Z

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/PCYSMK2ZU4VQ6FVM75EP7Y4FBK \
  | 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: 78b1262b59a72b0f16acff48ffe3850a8835102e446a64ace2ee7474f78cc628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6efc7916527f639c38c4ccc25eaae7be3d47ea69055a65f6e7911f1cfae4a3f2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-04T12:41:31Z",
    "title_canon_sha256": "64ebea8147d3f3a7b145939f90abf72524fef55b6d7922185bb6d7a40e98a4e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01250",
    "kind": "arxiv",
    "version": 1
  }
}