Pith Number

pith:GX4X32TW

pith:2015:GX4X32TWV3MP77O5HP5TBUP7AL

not attested not anchored not stored refs pending

The plaid model and outer billiards on kites

Richard Evan Schwartz

arxiv:1511.09091 v1 · 2015-11-29 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GX4X32TWV3MP77O5HP5TBUP7AL}

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	2026-05-18T01:25:41.187199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f97dea76aed8fffddd3bfb30d1ff02d7cdbf6f5819d5893f7c5be9c663a331

Aliases

arxiv: 1511.09091 · arxiv_version: 1511.09091v1 · doi: 10.48550/arxiv.1511.09091 · pith_short_12: GX4X32TWV3MP · pith_short_16: GX4X32TWV3MP77O5 · pith_short_8: GX4X32TW

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/GX4X32TWV3MP77O5HP5TBUP7AL \
  | 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: 35f97dea76aed8fffddd3bfb30d1ff02d7cdbf6f5819d5893f7c5be9c663a331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6cdfa4051d1fc80e7c4ba136d3b016ecdb14ed68aa5ca8814946f251184932",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-29T21:11:50Z",
    "title_canon_sha256": "6da7110ea08efb2c6f15330cfc252e2c3351ac9deb22ae3c3c740de627ebb408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09091",
    "kind": "arxiv",
    "version": 1
  }
}