Pith Number

pith:XP2NBM7V

pith:2026:XP2NBM7VXAXFAYK6IIYGHL4DLQ

not attested not anchored not stored refs pending

On generalised d'Alembert-type integral representations for damped wave equations on the quarter-plane

Alain Miranville, Andreas Chatziafratis, Claudio Giorgi, Federico Zullo

arxiv:2608.06355 v1 · 2026-08-06 · math.AP · math-ph · math.CV · 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{XP2NBM7VXAXFAYK6IIYGHL4DLQ}

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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.

Receipt and verification

First computed	2026-08-07T01:41:28.257441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf4d0b3f5b82e50615e423063af835c10b010a6b721867ab49553c7c576c0b8

Aliases

arxiv: 2608.06355 · arxiv_version: 2608.06355v1 · doi: 10.48550/arxiv.2608.06355 · pith_short_12: XP2NBM7VXAXF · pith_short_16: XP2NBM7VXAXFAYK6 · pith_short_8: XP2NBM7V

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/XP2NBM7VXAXFAYK6IIYGHL4DLQ \
  | 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: bbf4d0b3f5b82e50615e423063af835c10b010a6b721867ab49553c7c576c0b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee48d2ecbc67f95ea6b26b384a083d8ffd1bc2122aced7923f2de7f5832d3617",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-06T17:53:49Z",
    "title_canon_sha256": "1dfbf60350aa01c179c06f125db06907c100c3b5e3d62ee0ca4766d7b0442b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06355",
    "kind": "arxiv",
    "version": 1
  }
}