Pith Number

pith:MOKYLZQD

pith:2015:MOKYLZQDO2EGFMIXH2QKGBZZNS

not attested not anchored not stored refs pending

Strongly aperiodic subshifts on surface groups

Chaim Goodman-Strauss, David Bruce Cohen

arxiv:1510.06439 v1 · 2015-10-21 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOKYLZQDO2EGFMIXH2QKGBZZNS}

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	2026-05-18T01:29:30.996278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639585e603768862b1173ea0a307396cb8f8b68827cacd316c807e9aae4f82e1

Aliases

arxiv: 1510.06439 · arxiv_version: 1510.06439v1 · doi: 10.48550/arxiv.1510.06439 · pith_short_12: MOKYLZQDO2EG · pith_short_16: MOKYLZQDO2EGFMIX · pith_short_8: MOKYLZQD

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/MOKYLZQDO2EGFMIXH2QKGBZZNS \
  | 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: 639585e603768862b1173ea0a307396cb8f8b68827cacd316c807e9aae4f82e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8cbef68827a2c665332621386f3b4983c86296025a3ccd779309f0af5010ee7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-21T21:30:27Z",
    "title_canon_sha256": "2379d0d35ddbf2e6472714df2ffdc1b748caaee550bec30f2718db765b8d1f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06439",
    "kind": "arxiv",
    "version": 1
  }
}