Pith Number

pith:PCTXK7FK

pith:2026:PCTXK7FKYPIA2IDBLW77VYGC7R

not attested not anchored not stored refs pending

Approximation and interactive design with exact 3D elastic curves

David Brander, Jens Gravesen, Marc Isern

arxiv:2606.20516 v1 · 2026-06-18 · math.DG · 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{PCTXK7FKYPIA2IDBLW77VYGC7R}

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	2026-06-19T16:13:14.248102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a7757caac3d00d20615dbffae0c2fc7d383fd04ca92bbd5a7dccb71a88edf9

Aliases

arxiv: 2606.20516 · arxiv_version: 2606.20516v1 · doi: 10.48550/arxiv.2606.20516 · pith_short_12: PCTXK7FKYPIA · pith_short_16: PCTXK7FKYPIA2IDB · pith_short_8: PCTXK7FK

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/PCTXK7FKYPIA2IDBLW77VYGC7R \
  | 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: 78a7757caac3d00d20615dbffae0c2fc7d383fd04ca92bbd5a7dccb71a88edf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9271bf23469720bfa7d59ecdd54b40e5f04ecca2f6ffe087c4c12791fe0f6b72",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-18T17:35:48Z",
    "title_canon_sha256": "1be27cbfbb8401151e9621dbe017bbbbe36c0356a056f2decb3e58c73f5f121f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20516",
    "kind": "arxiv",
    "version": 1
  }
}