Pith Number

pith:ZFJ2R7GD

pith:2016:ZFJ2R7GDNYTO6NRI64OANJHRXU

not attested not anchored not stored refs pending

Common tangents of two disjoint polygons in linear time and constant workspace

Bartosz Walczak, Mikkel Abrahamsen

arxiv:1601.01816 v4 · 2016-01-08 · 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{ZFJ2R7GDNYTO6NRI64OANJHRXU}

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	2026-05-17T23:58:50.600691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c953a8fcc36e26ef3628f71c06a4f1bd0af9ab1df424d4ce2fc9daf712191135

Aliases

arxiv: 1601.01816 · arxiv_version: 1601.01816v4 · doi: 10.48550/arxiv.1601.01816 · pith_short_12: ZFJ2R7GDNYTO · pith_short_16: ZFJ2R7GDNYTO6NRI · pith_short_8: ZFJ2R7GD

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/ZFJ2R7GDNYTO6NRI64OANJHRXU \
  | 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: c953a8fcc36e26ef3628f71c06a4f1bd0af9ab1df424d4ce2fc9daf712191135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9814fde65d3e339e5c1306922a50b74d9c60fbb828bdd95174a4ea1da63772d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-01-08T10:17:45Z",
    "title_canon_sha256": "29ef9b012e541659524cb0026521acffa9197d87edbca1d07fdde2f74de05352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01816",
    "kind": "arxiv",
    "version": 4
  }
}