Pith Number

pith:R4FEILBC

pith:2011:R4FEILBCODSLPTJJVAFRIW4CR6

not attested not anchored not stored refs pending

Spectral structure of digit sets of self-similar tiles on ${Bbb R}^1$

Chun-kit Lai, Hui Rao, Ka-Sing Lau

arxiv:1110.6398 v1 · 2011-10-28 · 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{R4FEILBCODSLPTJJVAFRIW4CR6}

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	2026-05-18T03:26:50.803390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0a442c2270e4b7cd29a80b145b828fbc5d10e1a6d68b81cd918135bfae87b9

Aliases

arxiv: 1110.6398 · arxiv_version: 1110.6398v1 · doi: 10.48550/arxiv.1110.6398 · pith_short_12: R4FEILBCODSL · pith_short_16: R4FEILBCODSLPTJJ · pith_short_8: R4FEILBC

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/R4FEILBCODSLPTJJVAFRIW4CR6 \
  | 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: 8f0a442c2270e4b7cd29a80b145b828fbc5d10e1a6d68b81cd918135bfae87b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0435ce3d040a3e62a0702121b98b2fe72ac16b3730ba1facee9cbaaea6e8d126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-28T17:06:14Z",
    "title_canon_sha256": "40c66daf7c77a7fa5f67ced7d133d68683ef3923ab0cee718ad48c634c26da7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6398",
    "kind": "arxiv",
    "version": 1
  }
}