Pith Number

pith:B6CZ3ZQW

pith:2013:B6CZ3ZQWG67IMBFYTVMM6N2KYE

not attested not anchored not stored refs pending

Micro and Macro Fractals generated by multi-valued dynamical systems

Natalia Novosad, Taras Banakh

arxiv:1304.7529 v1 · 2013-04-28 · math.GN · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6CZ3ZQWG67IMBFYTVMM6N2KYE}

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	2026-05-18T02:32:14.457031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f859de61637be8604b89d58cf374ac101d2c338f4b72e2b83d1362ecee5efad

Aliases

arxiv: 1304.7529 · arxiv_version: 1304.7529v1 · doi: 10.48550/arxiv.1304.7529 · pith_short_12: B6CZ3ZQWG67I · pith_short_16: B6CZ3ZQWG67IMBFY · pith_short_8: B6CZ3ZQW

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/B6CZ3ZQWG67IMBFYTVMM6N2KYE \
  | 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: 0f859de61637be8604b89d58cf374ac101d2c338f4b72e2b83d1362ecee5efad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84c84e920d54bf78f7d49bf499f783da429faa061290b79e267605336b7e6f70",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-04-28T22:11:18Z",
    "title_canon_sha256": "27b348f3f9e296437245b8b931e8f3bbadc4730e7a3f30965c0e0424dee01265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7529",
    "kind": "arxiv",
    "version": 1
  }
}