Pith Number

pith:WM7LMHGW

pith:2017:WM7LMHGWMVQXJKKGNVDEFU53HQ

not attested not anchored not stored refs pending

Fast Approximate Implicitization of Envelope Curves using Chebyshev Polynomials

Bert J\"uttler, Oliver J D Barrowclough, Tino Schulz

arxiv:1707.01229 v1 · 2017-07-05 · math.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{WM7LMHGWMVQXJKKGNVDEFU53HQ}

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	2026-05-18T00:40:53.368180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33eb61cd6656174a9466d4642d3bb3c1b626a5cf4d0a06b5b86761ee27ee0f6

Aliases

arxiv: 1707.01229 · arxiv_version: 1707.01229v1 · doi: 10.48550/arxiv.1707.01229 · pith_short_12: WM7LMHGWMVQX · pith_short_16: WM7LMHGWMVQXJKKG · pith_short_8: WM7LMHGW

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/WM7LMHGWMVQXJKKGNVDEFU53HQ \
  | 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: b33eb61cd6656174a9466d4642d3bb3c1b626a5cf4d0a06b5b86761ee27ee0f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7c574a484548b5347ff25c3bc805ffb14f374819fd572d7b6b774a1302af8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-07-05T07:00:27Z",
    "title_canon_sha256": "da676d473e5b076a961c1ab23b550254a831cdda5af2689c117405b0a37e6ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01229",
    "kind": "arxiv",
    "version": 1
  }
}