Pith Number

pith:3ZQMW62L

pith:2018:3ZQMW62LTKAJDI2F5PEBCPRUFE

not attested not anchored not stored refs pending

Rigid foldability of the augmented square twist

Michael T. Urbanski, Thomas C. Hull

arxiv:1809.04899 v1 · 2018-09-13 · math.MG · 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{3ZQMW62LTKAJDI2F5PEBCPRUFE}

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	2026-05-18T00:05:47.158273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de60cb7b4b9a8091a345ebc8113e34290402c23f2a8a5245047fd5c9336a6f2d

Aliases

arxiv: 1809.04899 · arxiv_version: 1809.04899v1 · doi: 10.48550/arxiv.1809.04899 · pith_short_12: 3ZQMW62LTKAJ · pith_short_16: 3ZQMW62LTKAJDI2F · pith_short_8: 3ZQMW62L

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/3ZQMW62LTKAJDI2F5PEBCPRUFE \
  | 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: de60cb7b4b9a8091a345ebc8113e34290402c23f2a8a5245047fd5c9336a6f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e781ac5e9118c03e63a5373c31ba6ee08bae8f2d18cd91751b15dee9f23973bf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-09-13T11:59:31Z",
    "title_canon_sha256": "acb8b1e76346b91ddb43cec7dc760679a3951e65e241c8826d47bec332ab40c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04899",
    "kind": "arxiv",
    "version": 1
  }
}