Pith Number

pith:YXPKJ7Q6

pith:2025:YXPKJ7Q6KNAT2Q6TUVJFSMAJFM

not attested not anchored not stored refs pending

Rectangular Duals on the Cylinder and the Torus

Jonathan Klawitter, Philipp Kindermann, Therese Biedl

arxiv:2506.07170 v1 · 2025-06-08 · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXPKJ7Q6KNAT2Q6TUVJFSMAJFM}

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	2026-07-05T11:18:02.979725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5dea4fe1e53413d43d3a5525930092b19308817e5a871769ac052c709e5bd4a

Aliases

arxiv: 2506.07170 · arxiv_version: 2506.07170v1 · doi: 10.48550/arxiv.2506.07170 · pith_short_12: YXPKJ7Q6KNAT · pith_short_16: YXPKJ7Q6KNAT2Q6T · pith_short_8: YXPKJ7Q6

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/YXPKJ7Q6KNAT2Q6TUVJFSMAJFM \
  | 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: c5dea4fe1e53413d43d3a5525930092b19308817e5a871769ac052c709e5bd4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda79a87fb193f837267bcab91a78d041f38c95788763475ba6d21e2c157c95c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-06-08T14:35:51Z",
    "title_canon_sha256": "1bfcd49a3bd9a2ccc274df1c7492814b9f8fe6fb8d74ca23841dae0d708f8fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07170",
    "kind": "arxiv",
    "version": 1
  }
}