Pith Number

pith:4BETPURC

pith:2018:4BETPURC72GUZLJE2BTFZNCHTQ

not attested not anchored not stored refs pending

Reducible KAM tori for Degasperis-Procesi equation

Filippo Giuliani, Michela Procesi, Roberto Feola

arxiv:1812.08498 v1 · 2018-12-20 · 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{4BETPURC72GUZLJE2BTFZNCHTQ}

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	2026-05-17T23:57:49.809198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04937d222fe8d4cad24d0665cb4479c17577af158217dc824a78a9e66819b1c

Aliases

arxiv: 1812.08498 · arxiv_version: 1812.08498v1 · doi: 10.48550/arxiv.1812.08498 · pith_short_12: 4BETPURC72GU · pith_short_16: 4BETPURC72GUZLJE · pith_short_8: 4BETPURC

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/4BETPURC72GUZLJE2BTFZNCHTQ \
  | 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: e04937d222fe8d4cad24d0665cb4479c17577af158217dc824a78a9e66819b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7ee494f3f396210003f36e3af6c79135cbcf44e44cd2d6fb20eefedb8da1be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-20T11:40:03Z",
    "title_canon_sha256": "1cc4c773c56a362feb81142df60a9f34cca3d9601d9a06ba14bc7211049a89d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08498",
    "kind": "arxiv",
    "version": 1
  }
}