Pith Number

pith:APIEPBPF

pith:2017:APIEPBPFJRTVXICKPFEMZDL4I3

not attested not anchored not stored refs pending

Global-in-time Strichartz estimates for Schrodinger on scattering manifolds

Jiqiang Zheng, Junyong Zhang

arxiv:1702.05811 v2 · 2017-02-19 · 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{APIEPBPFJRTVXICKPFEMZDL4I3}

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	2026-05-18T00:48:04.959305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d04785e54c675ba04a7948cc8d7c46f9be476f477f2b1060d7cd990830f4ea

Aliases

arxiv: 1702.05811 · arxiv_version: 1702.05811v2 · doi: 10.48550/arxiv.1702.05811 · pith_short_12: APIEPBPFJRTV · pith_short_16: APIEPBPFJRTVXICK · pith_short_8: APIEPBPF

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/APIEPBPFJRTVXICKPFEMZDL4I3 \
  | 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: 03d04785e54c675ba04a7948cc8d7c46f9be476f477f2b1060d7cd990830f4ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9319cb289a1d384551943ae7aa1b41b61bdb46f5a2a879b0d121d5a2e2cc6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-19T22:24:03Z",
    "title_canon_sha256": "45f89f06e25440e85ab9cfa2581a1c518a865561a015021cce43e49f36521dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05811",
    "kind": "arxiv",
    "version": 2
  }
}