Pith Number

pith:MQI4AJPV

pith:2010:MQI4AJPVTJGJ7H6FELZB6RDNM6

not attested not anchored not stored refs pending

Dynamics on fractals and fractal distributions

Michael Hochman

arxiv:1008.3731 v2 · 2010-08-23 · 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{MQI4AJPVTJGJ7H6FELZB6RDNM6}

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	2026-05-18T03:17:14.997440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6411c025f59a4c9f9fc522f21f446d67890b1be9841c4618fba19d6e90d41678

Aliases

arxiv: 1008.3731 · arxiv_version: 1008.3731v2 · doi: 10.48550/arxiv.1008.3731 · pith_short_12: MQI4AJPVTJGJ · pith_short_16: MQI4AJPVTJGJ7H6F · pith_short_8: MQI4AJPV

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/MQI4AJPVTJGJ7H6FELZB6RDNM6 \
  | 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: 6411c025f59a4c9f9fc522f21f446d67890b1be9841c4618fba19d6e90d41678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcaed56d40953b5473efa99f56dbd25d562547a1407a8024c2f50ed974346e43",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-23T00:40:18Z",
    "title_canon_sha256": "24b261e2224500429ce1499058516d81ed8e66dd36ef4c44f316937566893f88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3731",
    "kind": "arxiv",
    "version": 2
  }
}