Pith Number

pith:7JQBNOXD

pith:2011:7JQBNOXDAJNBDWDNT5H2ACESDM

not attested not anchored not stored refs pending

A generalization of Marstrand's theorem for projections of cartesian products

Carlos Gustavo Moreira, Jorge Erick L\'opez

arxiv:1107.0424 v1 · 2011-07-03 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JQBNOXDAJNBDWDNT5H2ACESDM}

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	2026-05-18T04:18:53.998651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa6016bae3025a11d86d9f4fa008921b0106f0d2b1f77ffabac02afb62e36cf2

Aliases

arxiv: 1107.0424 · arxiv_version: 1107.0424v1 · doi: 10.48550/arxiv.1107.0424 · pith_short_12: 7JQBNOXDAJNB · pith_short_16: 7JQBNOXDAJNBDWDN · pith_short_8: 7JQBNOXD

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/7JQBNOXDAJNBDWDNT5H2ACESDM \
  | 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: fa6016bae3025a11d86d9f4fa008921b0106f0d2b1f77ffabac02afb62e36cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a462d740dd4d9f449984dadc9f190f13b242842f97c7cf1198a1cdfac5751b1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-07-03T02:46:47Z",
    "title_canon_sha256": "54b2abc65bfc2f2c30d84358a4d99e0c9b235d0be27e77a3acfa373c879d9e32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0424",
    "kind": "arxiv",
    "version": 1
  }
}