Pith Number

pith:IO3JQGM5

pith:2016:IO3JQGM5HOO4LWMGFT4ATJEDD3

not attested not anchored not stored refs pending

Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet

Hong Wang, Lingfu Zhang

arxiv:1611.10275 v2 · 2016-11-30 · 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{IO3JQGM5HOO4LWMGFT4ATJEDD3}

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	2026-05-18T00:54:15.261438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b698199d3b9dc5d9862cf809a4831edf89303f05df433335ede76f0853c36b

Aliases

arxiv: 1611.10275 · arxiv_version: 1611.10275v2 · doi: 10.48550/arxiv.1611.10275 · pith_short_12: IO3JQGM5HOO4 · pith_short_16: IO3JQGM5HOO4LWMG · pith_short_8: IO3JQGM5

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/IO3JQGM5HOO4LWMGFT4ATJEDD3 \
  | 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: 43b698199d3b9dc5d9862cf809a4831edf89303f05df433335ede76f0853c36b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed5657f1faf6e8769bb63e3cc8b293b385aa94b39d409ee2763e7c55b0ee96c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-30T17:28:37Z",
    "title_canon_sha256": "03e719bd8022e09eec8a931b7b5def0731b8b680bebf38cb76a598d420d402f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10275",
    "kind": "arxiv",
    "version": 2
  }
}