Pith Number

pith:UCC7KEA2

pith:2012:UCC7KEA2FOIDLDAMPFTL3H7JXR

not attested not anchored not stored refs pending

Effective generic super-exponential stability of elliptic fixed points for symplectic vector fields

Laurent Niederman

arxiv:1210.7855 v1 · 2012-10-29 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCC7KEA2FOIDLDAMPFTL3H7JXR}

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	2026-05-18T01:53:35.890171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a085f5101a2b90358c0c7966bd9fe9bc7ce4e47797d284b973c15288bd65922c

Aliases

arxiv: 1210.7855 · arxiv_version: 1210.7855v1 · doi: 10.48550/arxiv.1210.7855 · pith_short_12: UCC7KEA2FOID · pith_short_16: UCC7KEA2FOIDLDAM · pith_short_8: UCC7KEA2

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/UCC7KEA2FOIDLDAMPFTL3H7JXR \
  | 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: a085f5101a2b90358c0c7966bd9fe9bc7ce4e47797d284b973c15288bd65922c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe7643a754edbb924734e150d13430c7c73f5da5405d48c4665b02c3ae6d3b2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-29T22:28:15Z",
    "title_canon_sha256": "14c9b56a1f268354210a6931d6704741f14f0e7c43a2ee32e0dbaafa3105474d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7855",
    "kind": "arxiv",
    "version": 1
  }
}