Pith Number

pith:TB2TKLHJ

pith:2015:TB2TKLHJXPQHT7XBRVV3WJBXF7

not attested not anchored not stored refs pending

An Optimal Algorithm for the Separating Common Tangents of two Polygons

Mikkel Abrahamsen

arxiv:1511.04036 v1 · 2015-11-12 · 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{TB2TKLHJXPQHT7XBRVV3WJBXF7}

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	2026-05-18T01:27:06.192444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9875352ce9bbe079fee18d6bbb24372fc9e907e37513ab8eb74a44dde3cd2745

Aliases

arxiv: 1511.04036 · arxiv_version: 1511.04036v1 · doi: 10.48550/arxiv.1511.04036 · pith_short_12: TB2TKLHJXPQH · pith_short_16: TB2TKLHJXPQHT7XB · pith_short_8: TB2TKLHJ

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/TB2TKLHJXPQHT7XBRVV3WJBXF7 \
  | 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: 9875352ce9bbe079fee18d6bbb24372fc9e907e37513ab8eb74a44dde3cd2745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b48f419b69a3c0307c075adf0fdfdc3da6517df21d910fa28f46ecba954f804a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-11-12T19:59:53Z",
    "title_canon_sha256": "c2242fb72a4ddeebb422de21d70b1a906114d7d8d995ace949647a53d1251695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04036",
    "kind": "arxiv",
    "version": 1
  }
}