pith. sign in
Pith Number

pith:XEY2JLLY

pith:2018:XEY2JLLYCT6DXGM3OYIM4AI7XY
not attested not anchored not stored refs pending

Tracking critical points on evolving curves and surfaces

Andr\'as A. Sipos, G\'abor Domokos, Zsolt L\'angi

arxiv:1802.06118 v1 · 2018-02-16 · math.DS · math-ph · math.MP · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XEY2JLLYCT6DXGM3OYIM4AI7XY}

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 2026-05-18T00:23:04.403006Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b931a4ad7814fc3b999b7610ce011fbe09acf594654aa93751a60b02df7c2dbf

Aliases

arxiv: 1802.06118 · arxiv_version: 1802.06118v1 · doi: 10.48550/arxiv.1802.06118 · pith_short_12: XEY2JLLYCT6D · pith_short_16: XEY2JLLYCT6DXGM3 · pith_short_8: XEY2JLLY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XEY2JLLYCT6DXGM3OYIM4AI7XY \
  | 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: b931a4ad7814fc3b999b7610ce011fbe09acf594654aa93751a60b02df7c2dbf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5727f1912092923a9147f4b6a4772a7d7b00d687ea06d026361e8c4a1f1afccd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-02-16T20:50:59Z",
    "title_canon_sha256": "69f464c2f6d7ae78e3d9e0c1fdf79d010f74235d821392957d75cc9aada1db12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06118",
    "kind": "arxiv",
    "version": 1
  }
}