Pith Number

pith:TKUNVKYH

pith:2005:TKUNVKYHO5XWR467CKGYGH5JS4

not attested not anchored not stored refs pending

Summation of divergent series and Borel summability for strongly dissipative equations with periodic or quasi-periodic forcing terms

Guido Gentile, Jonathan H.B. Deane, Michele V. Bartuccelli

arxiv:math/0501500 v1 · 2005-01-28 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKUNVKYHO5XWR467CKGYGH5JS4}

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	2026-05-18T02:55:57.890195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa8daab07776f68f3df128d831fa99719b8526520415cc9d4da925922391d3e

Aliases

arxiv: math/0501500 · arxiv_version: math/0501500v1 · doi: 10.48550/arxiv.math/0501500 · pith_short_12: TKUNVKYHO5XW · pith_short_16: TKUNVKYHO5XWR467 · pith_short_8: TKUNVKYH

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/TKUNVKYHO5XWR467CKGYGH5JS4 \
  | 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: 9aa8daab07776f68f3df128d831fa99719b8526520415cc9d4da925922391d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "823a6087ca275a018caeb5ed3b73bfd326ac582a9ca944457c5be49751ea5355",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-01-28T09:09:08Z",
    "title_canon_sha256": "1cfca5acde616d2d866e4596f2af2191fcaadd1a248c273376a24a8f5b869d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501500",
    "kind": "arxiv",
    "version": 1
  }
}