Pith Number

pith:V4K536ZQ

pith:2017:V4K536ZQUMX52HHO5NPXHDVAK6

not attested not anchored not stored refs pending

Normal forms for three-parametric families of area-preserving maps near an elliptic fixed point

Natalia Gelfreikh

arxiv:1711.02921 v1 · 2017-11-08 · 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{V4K536ZQUMX52HHO5NPXHDVAK6}

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	2026-05-18T00:11:40.167919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af15ddfb30a32fdd1ceeeb5f738ea0579b9e29dd0f8b0fffd1abb97c5cc60172

Aliases

arxiv: 1711.02921 · arxiv_version: 1711.02921v1 · doi: 10.48550/arxiv.1711.02921 · pith_short_12: V4K536ZQUMX5 · pith_short_16: V4K536ZQUMX52HHO · pith_short_8: V4K536ZQ

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/V4K536ZQUMX52HHO5NPXHDVAK6 \
  | 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: af15ddfb30a32fdd1ceeeb5f738ea0579b9e29dd0f8b0fffd1abb97c5cc60172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf99c4828a4e6d16959fc56f3c5eb15fe73a952011de5ed790ef2b215b1b7f17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-08T12:34:01Z",
    "title_canon_sha256": "70993abaddd80dea497ab9355de09c39396e8825d3589ed509eb38b0df85c2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02921",
    "kind": "arxiv",
    "version": 1
  }
}