Pith Number

pith:AG74CPQJ

pith:2025:AG74CPQJQXDPHM5ZYQFWLD5PH2

not attested not anchored not stored refs pending

Complex structure of time-periodic solutions decoded in Poincar\'{e}-Lindstedt series: the cubic conformal wave equation on $\mathbb{S}^{3}$

Filip Ficek, Maciej Maliborski

arxiv:2504.10513 v2 · 2025-04-10 · 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{AG74CPQJQXDPHM5ZYQFWLD5PH2}

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	2026-07-05T11:59:12.933435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01bfc13e0985c6f3b3b9c40b658faf3e827a9ff8b718acb83ee4804a9128a7ff

Aliases

arxiv: 2504.10513 · arxiv_version: 2504.10513v2 · doi: 10.48550/arxiv.2504.10513 · pith_short_12: AG74CPQJQXDP · pith_short_16: AG74CPQJQXDPHM5Z · pith_short_8: AG74CPQJ

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/AG74CPQJQXDPHM5ZYQFWLD5PH2 \
  | 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: 01bfc13e0985c6f3b3b9c40b658faf3e827a9ff8b718acb83ee4804a9128a7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152518d3a5634124dd081705c7cddee671a791995c16b4e83769263f558ba3cf",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-10T16:34:31Z",
    "title_canon_sha256": "04be874d22516f289d59d2dcb4dec47f0e68414d430c3cba56b366d75754ac54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.10513",
    "kind": "arxiv",
    "version": 2
  }
}