Pith Number

pith:FFHFBZ54

pith:2015:FFHFBZ54YPNYFYTPHJ3EIT2JGB

not attested not anchored not stored refs pending

Strichartz-type Estimates for Wave Equation for Normally Hyperbolic Trapped Domains

Hongtan Sun

arxiv:1507.05364 v1 · 2015-07-20 · 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{FFHFBZ54YPNYFYTPHJ3EIT2JGB}

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	2026-05-18T01:36:37.024011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

294e50e7bcc3db82e26f3a76444f4930447a39ac39b02cd562342351acc0857d

Aliases

arxiv: 1507.05364 · arxiv_version: 1507.05364v1 · doi: 10.48550/arxiv.1507.05364 · pith_short_12: FFHFBZ54YPNY · pith_short_16: FFHFBZ54YPNYFYTP · pith_short_8: FFHFBZ54

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/FFHFBZ54YPNYFYTPHJ3EIT2JGB \
  | 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: 294e50e7bcc3db82e26f3a76444f4930447a39ac39b02cd562342351acc0857d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4028f9b481c5123ab28a70b044dfc8ae38657005f98e062b9d0d26fa09a9870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-20T02:04:14Z",
    "title_canon_sha256": "46fd64f4f78d87248f0f53f24c0c9ad00b1a3d084e9a67673e0525ee734a255f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05364",
    "kind": "arxiv",
    "version": 1
  }
}