Pith Number

pith:OBO52ZOY

pith:2011:OBO52ZOY3QIJP24FPZSPEUXCWW

not attested not anchored not stored refs pending

KAM theory for the Hamiltonian derivative wave equation

Luca Biasco, Massimiliano Berti, Michela Procesi

arxiv:1111.3905 v2 · 2011-11-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBO52ZOY3QIJP24FPZSPEUXCWW}

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	2026-05-18T00:35:53.760224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

705ddd65d8dc1097eb857e64f252e2b592f2f3ff5e71755c82a36d4293460ac4

Aliases

arxiv: 1111.3905 · arxiv_version: 1111.3905v2 · doi: 10.48550/arxiv.1111.3905 · pith_short_12: OBO52ZOY3QIJ · pith_short_16: OBO52ZOY3QIJP24F · pith_short_8: OBO52ZOY

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/OBO52ZOY3QIJP24FPZSPEUXCWW \
  | 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: 705ddd65d8dc1097eb857e64f252e2b592f2f3ff5e71755c82a36d4293460ac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d963cc0dea572c11361d477ab8f7000ce6f2849fb1b73c4065f1dc2be00a5f54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-16T18:51:14Z",
    "title_canon_sha256": "5b6d3d06bfa57bdb45ff7fe35ec3417e183e2abb9713783dd982f528f1bdfb37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3905",
    "kind": "arxiv",
    "version": 2
  }
}