Pith Number

pith:RK7BEAHX

pith:2026:RK7BEAHXI347SA34GOJATUSMTY

not attested not anchored not stored refs pending

Matching Rules for Substitution and Hierarchical Tilings for any Substitution with Finite Local Complexity

Nikolay Vereshchagin

arxiv:2606.25005 v1 · 2026-06-23 · 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{RK7BEAHXI347SA34GOJATUSMTY}

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	2026-06-25T00:17:48.058142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8abe1200f746f9f9037c339209d24c9e206aac924590f6637b9fd0b8028dd792

Aliases

arxiv: 2606.25005 · arxiv_version: 2606.25005v1 · doi: 10.48550/arxiv.2606.25005 · pith_short_12: RK7BEAHXI347 · pith_short_16: RK7BEAHXI347SA34 · pith_short_8: RK7BEAHX

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/RK7BEAHXI347SA34GOJATUSMTY \
  | 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: 8abe1200f746f9f9037c339209d24c9e206aac924590f6637b9fd0b8028dd792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b74f208d76ebf59197488b6baca1dcffd5466e3ba45a32a34294216b2dbd39a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-23T17:07:52Z",
    "title_canon_sha256": "16dc20663181541f281121d4561a81bad5017373054cbf489c5720722b8d25d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25005",
    "kind": "arxiv",
    "version": 1
  }
}