Pith Number

pith:KCODWWAB

pith:2010:KCODWWABWZCYKFJZ464K7GRIYW

not attested not anchored not stored refs pending

Paperfolding morphisms, planefilling curves, and fractal tiles

Michel Dekking

arxiv:1011.5788 v2 · 2010-11-26 · 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{KCODWWABWZCYKFJZ464K7GRIYW}

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	2026-05-18T04:32:00.564131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509c3b5801b645851539e7b8af9a28c5a409c465f4ffefecac3e8f5d6e504947

Aliases

arxiv: 1011.5788 · arxiv_version: 1011.5788v2 · doi: 10.48550/arxiv.1011.5788 · pith_short_12: KCODWWABWZCY · pith_short_16: KCODWWABWZCYKFJZ · pith_short_8: KCODWWAB

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/KCODWWABWZCYKFJZ464K7GRIYW \
  | 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: 509c3b5801b645851539e7b8af9a28c5a409c465f4ffefecac3e8f5d6e504947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55652d0d6a0f44e5237e876484d685ebfe43a1ed291de15340e720aa25e453db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-26T14:00:25Z",
    "title_canon_sha256": "de82a74a5631db21e6316fcd4ba8fdddf1105acef037e5f846f6d24fe9a1ccf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5788",
    "kind": "arxiv",
    "version": 2
  }
}