Pith Number

pith:RRAIVYLR

pith:2025:RRAIVYLRNBK5MITVXLPUN3IW46

not attested not anchored not stored refs pending

Extracting Complex Topology from Multivariate Functional Approximation: Contours, Jacobi Sets, and Ridge-Valley Graphs

Bei Wang, David Lenz, Guanqun Ma, Hanqi Guo, Tom Peterka

arxiv:2508.07637 v1 · 2025-08-11 · cs.LG · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRAIVYLRNBK5MITVXLPUN3IW46}

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	2026-07-05T11:51:49.611285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c408ae1716855d62275badf46ed16e78c1b411a45706cdfadfd5612f9ff6864

Aliases

arxiv: 2508.07637 · arxiv_version: 2508.07637v1 · doi: 10.48550/arxiv.2508.07637 · pith_short_12: RRAIVYLRNBK5 · pith_short_16: RRAIVYLRNBK5MITV · pith_short_8: RRAIVYLR

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/RRAIVYLRNBK5MITVXLPUN3IW46 \
  | 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: 8c408ae1716855d62275badf46ed16e78c1b411a45706cdfadfd5612f9ff6864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6aa1a6aa58630e0b95784f960c0047d2e8eb8dedba1bfaea464c4dfbc3a5208",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-11T05:41:24Z",
    "title_canon_sha256": "4600741af119a96e817e937b21ca95f269e4074cb3cdf987e68ebcb724c509aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07637",
    "kind": "arxiv",
    "version": 1
  }
}