Pith Number

pith:AA4SAA7N

pith:2014:AA4SAA7NVMM5ZITARYVAPWRPBU

not attested not anchored not stored refs pending

Channels of energy for the linear radial wave equation

Andrew Lawrie, Baoping Liu, Carlos Kenig, Wilhelm Schlag

arxiv:1409.3643 v1 · 2014-09-12 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AA4SAA7NVMM5ZITARYVAPWRPBU}

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	2026-05-18T02:43:00.054434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00392003edab19dca2608e2a07da2f0d3a358567b388126fd5b95bb0c1156b70

Aliases

arxiv: 1409.3643 · arxiv_version: 1409.3643v1 · doi: 10.48550/arxiv.1409.3643 · pith_short_12: AA4SAA7NVMM5 · pith_short_16: AA4SAA7NVMM5ZITA · pith_short_8: AA4SAA7N

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/AA4SAA7NVMM5ZITARYVAPWRPBU \
  | 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: 00392003edab19dca2608e2a07da2f0d3a358567b388126fd5b95bb0c1156b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "213a9864947f6d13f24bb07c710e040ec70be7830a931a502e31a4ae9b835b76",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-12T03:24:13Z",
    "title_canon_sha256": "602b9a16301317e13549f90553e19b89c8d89113427601602309a13205fe5be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3643",
    "kind": "arxiv",
    "version": 1
  }
}