Pith Number

pith:O3NWEX6S

pith:2013:O3NWEX6SC72VXECWDRG47AD3KG

not attested not anchored not stored refs pending

Nondispersive decay for the cubic wave equation

An{\i}l Zengino\u{g}lu, Roland Donninger

arxiv:1304.4135 v1 · 2013-04-15 · math.AP · gr-qc · 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{O3NWEX6SC72VXECWDRG47AD3KG}

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.

Cited by

1 paper in Pith

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay

Receipt and verification

First computed	2026-05-18T01:22:25.492650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76db625fd217f55b90561c4dcf807b518d361a3639b4bb8e0f7003735473d0f8

Aliases

arxiv: 1304.4135 · arxiv_version: 1304.4135v1 · doi: 10.48550/arxiv.1304.4135 · pith_short_12: O3NWEX6SC72V · pith_short_16: O3NWEX6SC72VXECW · pith_short_8: O3NWEX6S

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/O3NWEX6SC72VXECWDRG47AD3KG \
  | 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: 76db625fd217f55b90561c4dcf807b518d361a3639b4bb8e0f7003735473d0f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c942588e2484936417060c29f2d2cd822e4e295c34b4b35e4002290e6c3fe4",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-15T15:38:02Z",
    "title_canon_sha256": "b4ec2794b1295621cab0cfd18c7e8d627b63521d61165c437cc2fddb903ef3ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4135",
    "kind": "arxiv",
    "version": 1
  }
}