Pith Number

pith:R4ONCBQD

pith:2012:R4ONCBQD2X4SUVNZ6GEG6NE4QC

not attested not anchored not stored refs pending

Existence and stability of quasi-periodic solutions for derivative wave equations

Luca Biasco, Massimiliano Berti, Michela Procesi

arxiv:1209.5419 v1 · 2012-09-24 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4ONCBQD2X4SUVNZ6GEG6NE4QC}

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	2026-05-18T02:17:34.078840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1cd10603d5f92a55b9f1886f349c80824f7380790f7644e965cdfa6e2f9e0f

Aliases

arxiv: 1209.5419 · arxiv_version: 1209.5419v1 · doi: 10.48550/arxiv.1209.5419 · pith_short_12: R4ONCBQD2X4S · pith_short_16: R4ONCBQD2X4SUVNZ · pith_short_8: R4ONCBQD

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/R4ONCBQD2X4SUVNZ6GEG6NE4QC \
  | 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: 8f1cd10603d5f92a55b9f1886f349c80824f7380790f7644e965cdfa6e2f9e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5c2108f4d5365840f608357b4c78daa98c46c1fed3a8e8ad2515da041499ef",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-24T20:52:19Z",
    "title_canon_sha256": "dd0b3b341e4367d90f9b8974128ed6f967d59843f8225b96180490c8ed34f5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5419",
    "kind": "arxiv",
    "version": 1
  }
}