Pith Number

pith:WWU37S34

pith:2018:WWU37S34P7XX2VTJBNLNJSSG7B

not attested not anchored not stored refs pending

Sparse Circular Coordinates via Principal $\mathbb{Z}$-Bundles

Jose A. Perea

arxiv:1809.09269 v2 · 2018-09-25 · math.AT · 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{WWU37S34P7XX2VTJBNLNJSSG7B}

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	2026-05-17T23:47:02.798528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5a9bfcb7c7fef7d56690b56d4ca46f8577a8dcd7985929bd9a81c8aec230bf7

Aliases

arxiv: 1809.09269 · arxiv_version: 1809.09269v2 · doi: 10.48550/arxiv.1809.09269 · pith_short_12: WWU37S34P7XX · pith_short_16: WWU37S34P7XX2VTJ · pith_short_8: WWU37S34

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/WWU37S34P7XX2VTJBNLNJSSG7B \
  | 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: b5a9bfcb7c7fef7d56690b56d4ca46f8577a8dcd7985929bd9a81c8aec230bf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bbbcf129ce8710569e0660f9c6a7eb0c2fb85ccc033120b149033b7d257fc79",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-09-25T00:42:52Z",
    "title_canon_sha256": "9592e474250ec29fa7be91fb3db59eafe3825bcc8de4fef1abc0cd07c02e1258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09269",
    "kind": "arxiv",
    "version": 2
  }
}