Pith Number

pith:ZAYY5TQE

pith:2024:ZAYY5TQEU4II4EFG2KAA3V4Y7P

not attested not anchored not stored refs pending

Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori

\`Angel Jorba, Bego\~na Nicol\'as, Estrella Olmedo, Joan Gimeno

arxiv:2401.05003 v1 · 2024-01-10 · math.DS · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAYY5TQEU4II4EFG2KAA3V4Y7P}

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	2026-07-05T07:32:01.712259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8318ece04a7108e10a6d2800dd798fbd0eee3e812112c71f57296d106191990

Aliases

arxiv: 2401.05003 · arxiv_version: 2401.05003v1 · doi: 10.48550/arxiv.2401.05003 · pith_short_12: ZAYY5TQEU4II · pith_short_16: ZAYY5TQEU4II4EFG · pith_short_8: ZAYY5TQE

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/ZAYY5TQEU4II4EFG2KAA3V4Y7P \
  | 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: c8318ece04a7108e10a6d2800dd798fbd0eee3e812112c71f57296d106191990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "702b713a3b4c00ae3e6a00ee6e57fdb691fe688949c5b9a2331b30f477b16fc5",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-01-10T08:42:36Z",
    "title_canon_sha256": "e8d915c04395cecf4d69a091aea06f45ea851dec4aca8df1377c168a758fa053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.05003",
    "kind": "arxiv",
    "version": 1
  }
}