Pith Number

pith:FZ2IKHTC

pith:2013:FZ2IKHTC22PYZLBP3E24ZKCCUY

not attested not anchored not stored refs pending

Invariant measures and long time behaviour for the Benjamin-Ono equation II

Nicola Visciglia, Nikolay Tzvetkov

arxiv:1304.5056 v2 · 2013-04-18 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ2IKHTC22PYZLBP3E24ZKCCUY}

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	2026-05-18T03:27:31.824089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e74851e62d69f8cac2fd935cca842a601a185aedfde950dcd79e2d3a0724aed

Aliases

arxiv: 1304.5056 · arxiv_version: 1304.5056v2 · doi: 10.48550/arxiv.1304.5056 · pith_short_12: FZ2IKHTC22PY · pith_short_16: FZ2IKHTC22PYZLBP · pith_short_8: FZ2IKHTC

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/FZ2IKHTC22PYZLBP3E24ZKCCUY \
  | 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: 2e74851e62d69f8cac2fd935cca842a601a185aedfde950dcd79e2d3a0724aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeea3d50f1a4a7b13878862963f9bb1bf8a3054c690fde2ac8142f01429752b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-18T08:58:56Z",
    "title_canon_sha256": "6311d587e258ee708055d143ff37db31bcdd2b7d6fe05263b967e18f5376da30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5056",
    "kind": "arxiv",
    "version": 2
  }
}