Pith Number

pith:Q7MN4GWD

pith:2021:Q7MN4GWDEXE4TJJCP6X2KZKFWK

not attested not anchored not stored refs pending

Analysis-suitable unstructured T-splines: Multiple extraordinary points per face

Hugo Casquero, Kuanren Qian, Thomas J.R. Hughes, Xiaodong Wei, Xin Li, Yongjie Jessica Zhang

arxiv:2103.05726 v1 · 2021-03-09 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7MN4GWDEXE4TJJCP6X2KZKFWK}

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	2026-07-05T03:51:26.421363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d8de1ac325c9c9a5227fafa56545b28a9e007c2393e270e683e605df366355

Aliases

arxiv: 2103.05726 · arxiv_version: 2103.05726v1 · doi: 10.48550/arxiv.2103.05726 · pith_short_12: Q7MN4GWDEXE4 · pith_short_16: Q7MN4GWDEXE4TJJC · pith_short_8: Q7MN4GWD

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/Q7MN4GWDEXE4TJJCP6X2KZKFWK \
  | 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: 87d8de1ac325c9c9a5227fafa56545b28a9e007c2393e270e683e605df366355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3392a52cfe1876f66fa239323480233f40411c4ee8407d07fd77afa5378197b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-03-09T21:31:13Z",
    "title_canon_sha256": "5bb40ca640ed62d41be8c2a5825703cb4e9100fd0576f4fc1ae94dee19c84c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.05726",
    "kind": "arxiv",
    "version": 1
  }
}