Pith Number

pith:NRLI63SH

pith:2015:NRLI63SHFXTWSGVQTIYRAFBKFB

not attested not anchored not stored refs pending

Projections of self-similar and related fractals: a survey of recent developments

Pablo Shmerkin

arxiv:1501.00875 v1 · 2015-01-05 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRLI63SHFXTWSGVQTIYRAFBKFB}

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	2026-05-18T02:30:01.678671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c568f6e472de7691ab09a3110142a2845ee6dfa095e094d0c01f7534b7c4c63

Aliases

arxiv: 1501.00875 · arxiv_version: 1501.00875v1 · doi: 10.48550/arxiv.1501.00875 · pith_short_12: NRLI63SHFXTW · pith_short_16: NRLI63SHFXTWSGVQ · pith_short_8: NRLI63SH

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/NRLI63SHFXTWSGVQTIYRAFBKFB \
  | 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: 6c568f6e472de7691ab09a3110142a2845ee6dfa095e094d0c01f7534b7c4c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7782bdbc7ef12e516eda527fac232b6e4beaaf689d2671e68a8a20f9eee970c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-05T14:25:31Z",
    "title_canon_sha256": "95c8ada445c0a3044ac4ea144ff073c298ed0722eef6a0d70da04b9f0162fa75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00875",
    "kind": "arxiv",
    "version": 1
  }
}