Pith Number

pith:H3JU62MW

pith:2016:H3JU62MWDPPO3TK2NGHNAY5KTA

not attested not anchored not stored refs pending

Regularity of aperiodic minimal subshifts

Arne Mosbach, Fabian Dreher, Malte Steffens, Marc Kesseb\"ohmer, Tony Samuel

arxiv:1610.03163 v3 · 2016-10-11 · math.DS · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3JU62MWDPPO3TK2NGHNAY5KTA}

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	2026-05-17T23:45:24.514141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ed34f69961bdeedcd5a698ed063aa982c3f782baaf9dc75ab3d69313a53eb3a

Aliases

arxiv: 1610.03163 · arxiv_version: 1610.03163v3 · doi: 10.48550/arxiv.1610.03163 · pith_short_12: H3JU62MWDPPO · pith_short_16: H3JU62MWDPPO3TK2 · pith_short_8: H3JU62MW

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/H3JU62MWDPPO3TK2NGHNAY5KTA \
  | 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: 3ed34f69961bdeedcd5a698ed063aa982c3f782baaf9dc75ab3d69313a53eb3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e87312144a74de5ab0bbee422d766aafcf5c2d8ac32ed3a931a06afe07404cad",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-11T02:46:29Z",
    "title_canon_sha256": "d5a2dd83bc437c03cdc8e0596bd604e119d581c95606873886e913154b5a0c3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03163",
    "kind": "arxiv",
    "version": 3
  }
}