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Pith Number

pith:HTDLN54U

pith:2013:HTDLN54UA5BUERARCJ4T5B6KEE
not attested not anchored not stored refs pending

Lines of axial curvature at critical points on surfaces mapped into R4

Jorge Sotomayor, Ronaldo Garcia

arxiv:1304.1906 v1 · 2013-04-06 · math.DG · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HTDLN54UA5BUERARCJ4T5B6KEE}

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 2026-05-18T03:28:44.778712Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3cc6b6f794074342441112793e87ca212c8dc13908bd806ee7233b2a9d97cd7a

Aliases

arxiv: 1304.1906 · arxiv_version: 1304.1906v1 · doi: 10.48550/arxiv.1304.1906 · pith_short_12: HTDLN54UA5BU · pith_short_16: HTDLN54UA5BUERAR · pith_short_8: HTDLN54U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HTDLN54UA5BUERARCJ4T5B6KEE \
  | 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: 3cc6b6f794074342441112793e87ca212c8dc13908bd806ee7233b2a9d97cd7a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "20d8d58dedc83976b0f05ab6f8b852ab931ef716aa4c0979ddec8ed08ba4e4cd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-06T15:50:11Z",
    "title_canon_sha256": "aa46cfd06a8483e03c50441186877ec6f75a3239680569556dee58808500351a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1906",
    "kind": "arxiv",
    "version": 1
  }
}