Pith Number

pith:4DCUCFCX

pith:2012:4DCUCFCXVW2ZFJLAXG4NA56WIQ

not attested not anchored not stored refs pending

Hausdorff dimension of metric spaces and Lipschitz maps onto cubes

Andr\'as M\'ath\'e, Ond\v{r}ej Zindulka, Tam\'as Keleti

arxiv:1203.0686 v2 · 2012-03-03 · 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{4DCUCFCXVW2ZFJLAXG4NA56WIQ}

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	2026-05-18T02:42:15.348459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c5411457adb592a560b9b8d077d6443bd25aa93292c90b1a7c0217b98e817f

Aliases

arxiv: 1203.0686 · arxiv_version: 1203.0686v2 · doi: 10.48550/arxiv.1203.0686 · pith_short_12: 4DCUCFCXVW2Z · pith_short_16: 4DCUCFCXVW2ZFJLA · pith_short_8: 4DCUCFCX

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/4DCUCFCXVW2ZFJLAXG4NA56WIQ \
  | 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: e0c5411457adb592a560b9b8d077d6443bd25aa93292c90b1a7c0217b98e817f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "281e9855057016a3f3f69892c9712a7b26a0bc6f9a2d55b17415e3530bb90ddb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-03T21:51:43Z",
    "title_canon_sha256": "afc061ed520872eb30cd94e09e591638fad9ead69a9e513385f18ed8b3d19e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0686",
    "kind": "arxiv",
    "version": 2
  }
}