Pith Number

pith:IQFZF54C

pith:2005:IQFZF54CXH6BRBMGKVWV44N63L

not attested not anchored not stored refs pending

Resummation of perturbation series and reducibility for Bryuno skew-product flows

Guido Gentile

arxiv:math/0512026 v1 · 2005-12-01 · math.DS · 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{IQFZF54CXH6BRBMGKVWV44N63L}

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	2026-05-18T02:55:50.245089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

440b92f782b9fc188586556d5e71bedad16bf83bd2c9d1330d166502d51a19ed

Aliases

arxiv: math/0512026 · arxiv_version: math/0512026v1 · doi: 10.48550/arxiv.math/0512026 · pith_short_12: IQFZF54CXH6B · pith_short_16: IQFZF54CXH6BRBMG · pith_short_8: IQFZF54C

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/IQFZF54CXH6BRBMGKVWV44N63L \
  | 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: 440b92f782b9fc188586556d5e71bedad16bf83bd2c9d1330d166502d51a19ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62534560f6930f57b2eeac07d99f76611ff1853477e99b4358191965e98b902e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-12-01T13:18:24Z",
    "title_canon_sha256": "822471270504e0ceac623ecdb2a965493def269bd8f74f1121a2d7359e7792df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512026",
    "kind": "arxiv",
    "version": 1
  }
}