Pith Number

pith:DF4P5GMG

pith:2017:DF4P5GMGZ3WAJ3XLI3X4N3NXYF

not attested not anchored not stored refs pending

Lyapunov exponents for binary substitutions of constant length

Neil Ma\~nibo

arxiv:1706.00451 v2 · 2017-06-01 · 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{DF4P5GMGZ3WAJ3XLI3X4N3NXYF}

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	2026-05-18T00:30:44.553035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1978fe9986ceec04eeeb46efc6edb7c14a68e1433c1b78bed832ca2ba9a8a0c2

Aliases

arxiv: 1706.00451 · arxiv_version: 1706.00451v2 · doi: 10.48550/arxiv.1706.00451 · pith_short_12: DF4P5GMGZ3WA · pith_short_16: DF4P5GMGZ3WAJ3XL · pith_short_8: DF4P5GMG

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/DF4P5GMGZ3WAJ3XLI3X4N3NXYF \
  | 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: 1978fe9986ceec04eeeb46efc6edb7c14a68e1433c1b78bed832ca2ba9a8a0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc724918823b4d62fc48f36acf817bbc02b303a7e5b4b752c6ef954973ebc4f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-01T18:36:39Z",
    "title_canon_sha256": "28d1547a608b720a0f4231ca81afaadfc9b3f5ea2183146ed29b4f4fe88c183f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00451",
    "kind": "arxiv",
    "version": 2
  }
}