Pith Number

pith:XIPQ4WKM

pith:2023:XIPQ4WKM3SNJY4LMBUNNDW3LYK

not attested not anchored not stored refs pending

Long time energy averages and a lower resolvent estimate for damped waves

Matthieu L\'eautaud (LMO)

arxiv:2309.12709 v1 · 2023-09-22 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIPQ4WKM3SNJY4LMBUNNDW3LYK}

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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

2 papers in Pith

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces

Periodic solutions for weakly damped systems

Receipt and verification

First computed	2026-07-05T06:53:16.507310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1f0e594cdc9a9c716c0d1ad1db6bc2a5c10fb37e91027f4003e3fe348e8d80

Aliases

arxiv: 2309.12709 · arxiv_version: 2309.12709v1 · doi: 10.48550/arxiv.2309.12709 · pith_short_12: XIPQ4WKM3SNJ · pith_short_16: XIPQ4WKM3SNJY4LM · pith_short_8: XIPQ4WKM

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/XIPQ4WKM3SNJY4LMBUNNDW3LYK \
  | 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: ba1f0e594cdc9a9c716c0d1ad1db6bc2a5c10fb37e91027f4003e3fe348e8d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad9fcf2300e90b3dbadbc5f7668e643e0c90a6c7766bcb371d6d6994ed931d58",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-09-22T08:41:00Z",
    "title_canon_sha256": "2ed0e2f88ee646170057d523778926ed1c3f1bb74e3816db2d4bedae6a6faa0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.12709",
    "kind": "arxiv",
    "version": 1
  }
}