Pith Number

pith:ZNYPE77L

pith:2018:ZNYPE77LIDYJ42XYB4KF7FA4BZ

not attested not anchored not stored refs pending

On the integrability of Degasperis-Procesi equation: control of the Sobolev norms and Birkhoff resonances

Filippo Giuliani, Roberto Feola, Stefano Pasquali

arxiv:1802.00035 v2 · 2018-01-31 · 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{ZNYPE77LIDYJ42XYB4KF7FA4BZ}

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	2026-05-18T00:20:21.790895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb70f27feb40f09e6af80f145f941c0e7acd7ef15c30ef0888b159be6bbac857

Aliases

arxiv: 1802.00035 · arxiv_version: 1802.00035v2 · doi: 10.48550/arxiv.1802.00035 · pith_short_12: ZNYPE77LIDYJ · pith_short_16: ZNYPE77LIDYJ42XY · pith_short_8: ZNYPE77L

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/ZNYPE77LIDYJ42XYB4KF7FA4BZ \
  | 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: cb70f27feb40f09e6af80f145f941c0e7acd7ef15c30ef0888b159be6bbac857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff3cb782bf71f783b360dffc98a0fbaf62b844de48687b6e1807de95aa09a52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-31T19:45:03Z",
    "title_canon_sha256": "1944b67fdc601d8829ed588647631ff9241c92fca48ea2d0f94bc7bc15f2f2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00035",
    "kind": "arxiv",
    "version": 2
  }
}