Pith Number

pith:ZV3W6PJP

pith:2017:ZV3W6PJPF57BIAQC6452JZ3XBI

not attested not anchored not stored refs pending

KAM, $\alpha$-Gevrey regularity and the $\alpha$-Bruno-R\"ussmann condition

Abed Bounemoura (CEREMADE, Imcce), Jacques F\'ejoz (CEREMADE

arxiv:1705.06909 v2 · 2017-05-19 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZV3W6PJPF57BIAQC6452JZ3XBI}

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	2026-05-18T00:41:44.065632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd776f3d2f2f7e140202f73ba4e7770a3d443a8dbde9cc6cba992797f96d3508

Aliases

arxiv: 1705.06909 · arxiv_version: 1705.06909v2 · doi: 10.48550/arxiv.1705.06909 · pith_short_12: ZV3W6PJPF57B · pith_short_16: ZV3W6PJPF57BIAQC · pith_short_8: ZV3W6PJP

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/ZV3W6PJPF57BIAQC6452JZ3XBI \
  | 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: cd776f3d2f2f7e140202f73ba4e7770a3d443a8dbde9cc6cba992797f96d3508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf6487cebf5cf9b8802f65bca47a1b653628f1899d7d24efecead4b4da2d3910",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-19T09:45:52Z",
    "title_canon_sha256": "16a0216162fd18d1ca3a251c8c04449cc46b7e25dc9441b9c01f32adfe12417e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06909",
    "kind": "arxiv",
    "version": 2
  }
}