Pith Number

pith:OYPN3WVQ

pith:2013:OYPN3WVQ7SFFFM7YQGLCRQXFVV

not attested not anchored not stored refs pending

An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifold

Livia Corsi, Massimiliano Berti, Michela Procesi

arxiv:1311.6943 v1 · 2013-11-27 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYPN3WVQ7SFFFM7YQGLCRQXFVV}

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	2026-05-18T01:46:05.725250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

761edddab0fc8a52b3f8819628c2e5ad60eafc8234dc86fefa52016bb28a693b

Aliases

arxiv: 1311.6943 · arxiv_version: 1311.6943v1 · doi: 10.48550/arxiv.1311.6943 · pith_short_12: OYPN3WVQ7SFF · pith_short_16: OYPN3WVQ7SFFFM7Y · pith_short_8: OYPN3WVQ

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/OYPN3WVQ7SFFFM7YQGLCRQXFVV \
  | 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: 761edddab0fc8a52b3f8819628c2e5ad60eafc8234dc86fefa52016bb28a693b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421f3c6a8e1e59010908008674540f1a6a9cc6fbad0929cf141febc00cfea4ff",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-27T11:55:52Z",
    "title_canon_sha256": "8b4eebef6276e768ed3d6b16bec689e667166b1531f81d8e869b87bf4d55dfe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6943",
    "kind": "arxiv",
    "version": 1
  }
}