Pith Number

pith:3MKM5FDM

pith:2023:3MKM5FDM7MNS4EWBLK7T73HD4T

not attested not anchored not stored refs pending

Side-Contact Representations with Convex Polygons in 3D: New Results for Complete Bipartite Graphs

Andr\'e Schulz

arxiv:2308.00380 v1 · 2023-08-01 · 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{3MKM5FDM7MNS4EWBLK7T73HD4T}

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	2026-07-05T06:36:46.796822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db14ce946cfb1b2e12c15abf3fece3e4c56dfbc85ecb2ff6ae8d6654dd3f7410

Aliases

arxiv: 2308.00380 · arxiv_version: 2308.00380v1 · doi: 10.48550/arxiv.2308.00380 · pith_short_12: 3MKM5FDM7MNS · pith_short_16: 3MKM5FDM7MNS4EWB · pith_short_8: 3MKM5FDM

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/3MKM5FDM7MNS4EWBLK7T73HD4T \
  | 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: db14ce946cfb1b2e12c15abf3fece3e4c56dfbc85ecb2ff6ae8d6654dd3f7410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617df684135f5024748dfbfb7bb0c8041469de8d7a3cc171b4113700d08f68d6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2023-08-01T08:48:20Z",
    "title_canon_sha256": "c919cb8a9577409e4046faf97d2bdecf5f11376b24af6efc9e7a0de825f8ad34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.00380",
    "kind": "arxiv",
    "version": 1
  }
}