Pith Number

pith:L72H2JBJ

pith:2017:L72H2JBJ23ZRQPTRZGXLDX6W6M

not attested not anchored not stored refs pending

Pair Correlation and Gap Distributions for Substitution Tilings and Generalized Ulam Sets in the Plane

Maxie D. Schmidt

arxiv:1707.05509 v1 · 2017-07-18 · math.MG · 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{L72H2JBJ23ZRQPTRZGXLDX6W6M}

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	2026-05-18T00:40:02.126995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff47d2429d6f3183e71c9aeb1dfd6f3232cf1b6562711dd49a00af70a017334

Aliases

arxiv: 1707.05509 · arxiv_version: 1707.05509v1 · doi: 10.48550/arxiv.1707.05509 · pith_short_12: L72H2JBJ23ZR · pith_short_16: L72H2JBJ23ZRQPTR · pith_short_8: L72H2JBJ

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/L72H2JBJ23ZRQPTRZGXLDX6W6M \
  | 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: 5ff47d2429d6f3183e71c9aeb1dfd6f3232cf1b6562711dd49a00af70a017334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c73b682c58dfdb7320ccc34cf32cc15cbcf8b12e84563b6b0f180c4eca830315",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-07-18T07:38:43Z",
    "title_canon_sha256": "8883f3f2e52e635c5f0909572d13c159dee3ef898256e01c2f5266e896ce455f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05509",
    "kind": "arxiv",
    "version": 1
  }
}