Pith Number

pith:DI4DQS2M

pith:2016:DI4DQS2M6A24NVGUCPI2SJELLR

not attested not anchored not stored refs pending

Strichartz estimates for the fractional Schr\"odinger and wave equations on compact manifolds without boundary

Van Duong Dinh

arxiv:1609.07305 v3 · 2016-09-23 · 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{DI4DQS2M6A24NVGUCPI2SJELLR}

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	2026-05-18T00:33:00.018728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a38384b4cf035c6d4d413d1a9248b5c41cf914da0ed54d61f2d42b4bc2b4b99

Aliases

arxiv: 1609.07305 · arxiv_version: 1609.07305v3 · doi: 10.48550/arxiv.1609.07305 · pith_short_12: DI4DQS2M6A24 · pith_short_16: DI4DQS2M6A24NVGU · pith_short_8: DI4DQS2M

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/DI4DQS2M6A24NVGUCPI2SJELLR \
  | 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: 1a38384b4cf035c6d4d413d1a9248b5c41cf914da0ed54d61f2d42b4bc2b4b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15817312eeb2d8887e6632d8fd04bf392029e0ba89acab6157cd7946254c190b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-23T10:43:54Z",
    "title_canon_sha256": "69bc497eba46466aea360f0928b85ac6e0a11c628b696e8c5b30dd28853782d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07305",
    "kind": "arxiv",
    "version": 3
  }
}