Pith Number

pith:PA7SQF5O

pith:2019:PA7SQF5OFC5SNENRRVC6Q4BIMK

not attested not anchored not stored refs pending

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete

Jeff Erickson

arxiv:1908.09400 v2 · 2019-08-25 · 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{PA7SQF5OFC5SNENRRVC6Q4BIMK}

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	2026-07-04T23:59:51.229815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783f2817ae28bb2691b18d45e8702862b14d1ebc7fe007cfd264973f8a739b52

Aliases

arxiv: 1908.09400 · arxiv_version: 1908.09400v2 · doi: 10.48550/arxiv.1908.09400 · pith_short_12: PA7SQF5OFC5S · pith_short_16: PA7SQF5OFC5SNENR · pith_short_8: PA7SQF5O

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/PA7SQF5OFC5SNENRRVC6Q4BIMK \
  | 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: 783f2817ae28bb2691b18d45e8702862b14d1ebc7fe007cfd264973f8a739b52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01241d8fd810da25719ad82e8b69aaeb0fe9260899ad85c19e611de6145a80fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2019-08-25T22:06:22Z",
    "title_canon_sha256": "27b3882b28329408cd9f6782adafcae5459458bc13f3aeccb104d81cfd279aa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09400",
    "kind": "arxiv",
    "version": 2
  }
}