Pith Number

pith:RKGM6RWS

pith:2015:RKGM6RWSTWNTOKETCFNW4YVQNF

not attested not anchored not stored refs pending

Kempe's Universality Theorem for Rational Space Curves

Hans-Peter Schr\"ocker, Josef Schicho, Zijia Li

arxiv:1509.08690 v4 · 2015-09-29 · cs.CG · cs.RO · cs.SC · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKGM6RWSTWNTOKETCFNW4YVQNF}

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	2026-05-18T00:09:36.922742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a8ccf46d29d9b372893115b6e62b069595c31f131a6b93daa5f0192249e7b3d

Aliases

arxiv: 1509.08690 · arxiv_version: 1509.08690v4 · doi: 10.48550/arxiv.1509.08690 · pith_short_12: RKGM6RWSTWNT · pith_short_16: RKGM6RWSTWNTOKET · pith_short_8: RKGM6RWS

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/RKGM6RWSTWNTOKETCFNW4YVQNF \
  | 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: 8a8ccf46d29d9b372893115b6e62b069595c31f131a6b93daa5f0192249e7b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d1dc8a129d6ba7379ed82927727f9a26ce11b770130dbe24232fec26c87ffa",
    "cross_cats_sorted": [
      "cs.RO",
      "cs.SC",
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-09-29T11:22:33Z",
    "title_canon_sha256": "3d5746e273540870fc08b8db8b8121fea81ab8ef8c70fe0af93fbb89752dda57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08690",
    "kind": "arxiv",
    "version": 4
  }
}