Pith Number

pith:HF6VWD2Q

pith:2016:HF6VWD2Q7PNYX2YFDWPUGYY2DR

not attested not anchored not stored refs pending

Whitney Smooth Families of Invariant Tori within the Reversible Context 2 of KAM Theory

Mikhail B. Sevryuk

arxiv:1605.02586 v1 · 2016-05-09 · 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{HF6VWD2Q7PNYX2YFDWPUGYY2DR}

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	2026-05-18T00:55:58.008849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

397d5b0f50fbdb8beb051d9f43631a1c468e90063764e3dbda249798399a21f1

Aliases

arxiv: 1605.02586 · arxiv_version: 1605.02586v1 · doi: 10.48550/arxiv.1605.02586 · pith_short_12: HF6VWD2Q7PNY · pith_short_16: HF6VWD2Q7PNYX2YF · pith_short_8: HF6VWD2Q

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/HF6VWD2Q7PNYX2YFDWPUGYY2DR \
  | 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: 397d5b0f50fbdb8beb051d9f43631a1c468e90063764e3dbda249798399a21f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8dd68be9771baa06e55f350a4789cdd9bd3c21c9973593f7a90be20fa0bb02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-09T13:53:23Z",
    "title_canon_sha256": "1796cea5c342eafd9ce20355766ef304664013eb452d266a31960a60c4a31652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02586",
    "kind": "arxiv",
    "version": 1
  }
}