Pith Number

pith:GDESBXNK

pith:2011:GDESBXNKXK5VNBOFUD4SAMSPZK

not attested not anchored not stored refs pending

Measurable Envelopes, Hausdorff Measures and Sierpi\'nski Sets

M\'arton Elekes

arxiv:1109.5305 v1 · 2011-09-24 · math.CA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDESBXNKXK5VNBOFUD4SAMSPZK}

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	2026-05-18T04:12:20.088262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c920ddaababb5685c5a0f920324fcaad6b547a82c30f7995cc3ff3eef0177c

Aliases

arxiv: 1109.5305 · arxiv_version: 1109.5305v1 · doi: 10.48550/arxiv.1109.5305 · pith_short_12: GDESBXNKXK5V · pith_short_16: GDESBXNKXK5VNBOF · pith_short_8: GDESBXNK

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/GDESBXNKXK5VNBOFUD4SAMSPZK \
  | 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: 30c920ddaababb5685c5a0f920324fcaad6b547a82c30f7995cc3ff3eef0177c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0539b7d4f9dbe91ebd50987fabfbf096b878255c964c316807683a44ed80e7a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-24T20:47:03Z",
    "title_canon_sha256": "3a9531910494799e870294cb610711f956b4d4cc5fb6bb6b4b212ad34ce6507f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5305",
    "kind": "arxiv",
    "version": 1
  }
}