Pith Number

pith:6WJ3I6GR

pith:2012:6WJ3I6GRS3IL6GTCAJOIV4BYXS

not attested not anchored not stored refs pending

Upper estimate of martingale dimension for self-similar fractals

Masanori Hino

arxiv:1205.5617 v2 · 2012-05-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WJ3I6GRS3IL6GTCAJOIV4BYXS}

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	2026-05-18T03:17:25.005651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f593b478d196d0bf1a62025c8af038bca7dab2875f1ffb3522aa79bc765a304b

Aliases

arxiv: 1205.5617 · arxiv_version: 1205.5617v2 · doi: 10.48550/arxiv.1205.5617 · pith_short_12: 6WJ3I6GRS3IL · pith_short_16: 6WJ3I6GRS3IL6GTC · pith_short_8: 6WJ3I6GR

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/6WJ3I6GRS3IL6GTCAJOIV4BYXS \
  | 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: f593b478d196d0bf1a62025c8af038bca7dab2875f1ffb3522aa79bc765a304b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52542941b978f31828cfe1f4069e6ced68df82b563236e0e2190c4ce019165a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-25T05:57:59Z",
    "title_canon_sha256": "c41caee4ec33bb0a4517b3391e67f2ef0daea0f9c3b814ab803b08ae25d96601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5617",
    "kind": "arxiv",
    "version": 2
  }
}