Pith Number

pith:5V7TQFEJ

pith:2016:5V7TQFEJ7LPONHGADYRCRIU76N

not attested not anchored not stored refs pending

An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations

Rafael de la Llave, Yannick Sire

arxiv:1602.03775 v1 · 2016-02-11 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5V7TQFEJ7LPONHGADYRCRIU76N}

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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	2026-05-18T01:20:56.584120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7f381489fadee69cc01e2228a29ff37fb5b298aedb62d87c97046601818c2a

Aliases

arxiv: 1602.03775 · arxiv_version: 1602.03775v1 · doi: 10.48550/arxiv.1602.03775 · pith_short_12: 5V7TQFEJ7LPO · pith_short_16: 5V7TQFEJ7LPONHGA · pith_short_8: 5V7TQFEJ

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/5V7TQFEJ7LPONHGADYRCRIU76N \
  | 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: ed7f381489fadee69cc01e2228a29ff37fb5b298aedb62d87c97046601818c2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb309194a1710835b0fe0d6b934061cf7fe54db3b16a86440dc7076798afbf10",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-11T15:50:35Z",
    "title_canon_sha256": "d66a7117ccc4e1313a1c7a36ac45a5c4c6bf1c07c1f584ac44bb5746c17e748b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03775",
    "kind": "arxiv",
    "version": 1
  }
}