Pith Number

pith:T7LZMMDV

pith:2013:T7LZMMDVECBVXSGHDTPCLN5NZ2

not attested not anchored not stored refs pending

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Joachim Krieger, Roland Donninger

arxiv:1307.2392 v3 · 2013-07-09 · 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{T7LZMMDVECBVXSGHDTPCLN5NZ2}

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	2026-05-18T02:50:34.051652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd796307520835bc8c71cde25b7adcebd74ecdb16b00b41d8f5735d16c0fb56

Aliases

arxiv: 1307.2392 · arxiv_version: 1307.2392v3 · doi: 10.48550/arxiv.1307.2392 · pith_short_12: T7LZMMDVECBV · pith_short_16: T7LZMMDVECBVXSGH · pith_short_8: T7LZMMDV

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/T7LZMMDVECBVXSGHDTPCLN5NZ2 \
  | 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: 9fd796307520835bc8c71cde25b7adcebd74ecdb16b00b41d8f5735d16c0fb56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e51cf2cad76e433767cb484dae30f156a45b52158b0a18ae5f2302ce1661113",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-09T10:26:29Z",
    "title_canon_sha256": "99905f1dc0c4a723f18ae0afb5c6fe09dbdc0bee23549d722ab02da19fcc1bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2392",
    "kind": "arxiv",
    "version": 3
  }
}