Pith Number

pith:L5K5EMFN

pith:2015:L5K5EMFNLTYC6EBFMCVMYPC4VW

not attested not anchored not stored refs pending

High-order control for symplectic maps

A. Giorgilli, M. Sansottera, T. Carletti

arxiv:1510.06561 v1 · 2015-10-22 · 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{L5K5EMFNLTYC6EBFMCVMYPC4VW}

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	2026-05-18T01:24:51.421436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f55d230ad5cf02f102560aacc3c5cad9c6393250e4a4e78515a52dbcff6bbf4

Aliases

arxiv: 1510.06561 · arxiv_version: 1510.06561v1 · doi: 10.48550/arxiv.1510.06561 · pith_short_12: L5K5EMFNLTYC · pith_short_16: L5K5EMFNLTYC6EBF · pith_short_8: L5K5EMFN

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/L5K5EMFNLTYC6EBFMCVMYPC4VW \
  | 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: 5f55d230ad5cf02f102560aacc3c5cad9c6393250e4a4e78515a52dbcff6bbf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee7f9da1fcc84d9dbbd35984c65eafb75ffc84b05fcd2dcefd96d15eba3ec55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-22T09:55:20Z",
    "title_canon_sha256": "b5033eaf012771f2a9b02b6104925c480731d99e9befb526986b47802d331859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06561",
    "kind": "arxiv",
    "version": 1
  }
}