Pith Number

pith:4LW6BY55

pith:2025:4LW6BY554LRTQQQTTOP6P2SMK5

not attested not anchored not stored refs pending

Hyperbolic sine-Gordon model beyond the first threshold

Younes Zine

arxiv:2504.07944 v2 · 2025-04-10 · math.AP · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LW6BY554LRTQQQTTOP6P2SMK5}

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

2 papers in Pith

Fourier restriction norm method adapted to controlled paths: stochastic wave equations

On probabilistic ill-posedness

Receipt and verification

First computed	2026-07-05T11:00:06.213378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ede0e3bde2e33842139b9fe7ea4c574c192a2902065ebe7a039ace7259545f

Aliases

arxiv: 2504.07944 · arxiv_version: 2504.07944v2 · doi: 10.48550/arxiv.2504.07944 · pith_short_12: 4LW6BY554LRT · pith_short_16: 4LW6BY554LRTQQQT · pith_short_8: 4LW6BY55

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/4LW6BY554LRTQQQTTOP6P2SMK5 \
  | 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: e2ede0e3bde2e33842139b9fe7ea4c574c192a2902065ebe7a039ace7259545f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b39dc146cfdb0807c925c58ea021228bee85e7950d585caf0fa983374a4fdf81",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-10T17:53:59Z",
    "title_canon_sha256": "535a344e4dce61c367bd02196aa017059695446a551c6f69317b521d7ade5cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.07944",
    "kind": "arxiv",
    "version": 2
  }
}