Pith Number

pith:BIR322QR

pith:2016:BIR322QRI2HGWK25E7J4VQJRQG

not attested not anchored not stored refs pending

KAM for the Klein Gordon equation on $\mathbb S^d$

Beno\^it Gr\'ebert (LMJL), Eric Paturel (LMJL)

arxiv:1601.00610 v1 · 2016-01-04 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIR322QRI2HGWK25E7J4VQJRQG}

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	2026-05-18T01:23:26.958775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a23bd6a11468e6b2b5d27d3cac13181a1d3794671a48cebc96ebbaa8af402c7

Aliases

arxiv: 1601.00610 · arxiv_version: 1601.00610v1 · doi: 10.48550/arxiv.1601.00610 · pith_short_12: BIR322QRI2HG · pith_short_16: BIR322QRI2HGWK25 · pith_short_8: BIR322QR

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/BIR322QRI2HGWK25E7J4VQJRQG \
  | 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: 0a23bd6a11468e6b2b5d27d3cac13181a1d3794671a48cebc96ebbaa8af402c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95138fe2a7209dfc938486559987f8bf36e48d0ab793f6f161ad894bf7bdcdf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-04T19:13:57Z",
    "title_canon_sha256": "3de377519517069eec9207c16e0aa3cfa1a126514db44265febfaa01aa49f1db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00610",
    "kind": "arxiv",
    "version": 1
  }
}