Pith Number

pith:HU436KR4

pith:2011:HU436KR4IDFJ5SRKADW5JD4KLZ

not attested not anchored not stored refs pending

Local energy decay in even dimensions for the wave equation with a time-periodic non-trapping metric and applications to Strichartz estimates

Yavar Kian

arxiv:1102.4268 v1 · 2011-02-21 · 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{HU436KR4IDFJ5SRKADW5JD4KLZ}

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	2026-05-18T04:28:10.555578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d39bf2a3c40ca9eca2a00edd48f8a5e5ab573b613e1761a36973099d4a6620c

Aliases

arxiv: 1102.4268 · arxiv_version: 1102.4268v1 · doi: 10.48550/arxiv.1102.4268 · pith_short_12: HU436KR4IDFJ · pith_short_16: HU436KR4IDFJ5SRK · pith_short_8: HU436KR4

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/HU436KR4IDFJ5SRKADW5JD4KLZ \
  | 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: 3d39bf2a3c40ca9eca2a00edd48f8a5e5ab573b613e1761a36973099d4a6620c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179c1de2372d30f3bc204294bcf598e277c9c4a5a72b6bfeaabc9b597d5707b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-21T16:11:39Z",
    "title_canon_sha256": "400e7dcacb17d2f0be9598cdc72dade0393a21ffdc8b5fa721b104e743f8d6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4268",
    "kind": "arxiv",
    "version": 1
  }
}