Pith Number

pith:PKW3X6DR

pith:2012:PKW3X6DRR7NH7KZC27RDZQ3AY3

not attested not anchored not stored refs pending

Aperiodic Sequences and Aperiodic Geodesics

Steffen Weil, Viktor Schroeder

arxiv:1206.0551 v1 · 2012-06-04 · math.DS · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKW3X6DRR7NH7KZC27RDZQ3AY3}

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	2026-05-17T23:53:18.663404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aadbbf8718fda7fab22d7e23cc360c6fa9eaae839df2a13da61a4d0c2a97aab

Aliases

arxiv: 1206.0551 · arxiv_version: 1206.0551v1 · doi: 10.48550/arxiv.1206.0551 · pith_short_12: PKW3X6DRR7NH · pith_short_16: PKW3X6DRR7NH7KZC · pith_short_8: PKW3X6DR

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/PKW3X6DRR7NH7KZC27RDZQ3AY3 \
  | 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: 7aadbbf8718fda7fab22d7e23cc360c6fa9eaae839df2a13da61a4d0c2a97aab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ade63524d6fa7383053aa96990812585a950032b2d44d7a41d632071ac6ce0a",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-04T09:06:39Z",
    "title_canon_sha256": "57babe183d6a070456f0242a8eff942be91e307517f12569d00b42de80033abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0551",
    "kind": "arxiv",
    "version": 1
  }
}