Pith Number

pith:RJNM64L6

pith:2017:RJNM64L67YZUOSIBPDWKA5WFDM

not attested not anchored not stored refs pending

Substitution-based structures with absolutely continuous spectrum

Ian Short (Open University, Lax Chan, Milton Keynes), Uwe Grimm

arxiv:1706.05289 v1 · 2017-06-16 · math.DS · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJNM64L67YZUOSIBPDWKA5WFDM}

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	2026-05-18T00:10:57.194565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a5acf717efe3347490178eca076c51b0a70eef1c75ab4b36365926393af0f31

Aliases

arxiv: 1706.05289 · arxiv_version: 1706.05289v1 · doi: 10.48550/arxiv.1706.05289 · pith_short_12: RJNM64L67YZU · pith_short_16: RJNM64L67YZUOSIB · pith_short_8: RJNM64L6

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/RJNM64L67YZUOSIBPDWKA5WFDM \
  | 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: 8a5acf717efe3347490178eca076c51b0a70eef1c75ab4b36365926393af0f31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6222195ef98a5c565b7823417f51ada70100596a64345c3f793bfbe82b6ff3",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-16T14:33:15Z",
    "title_canon_sha256": "ce49dff1b146773374663f9645af064894e6f90889a01ab071ad891ce50e5406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05289",
    "kind": "arxiv",
    "version": 1
  }
}