Pith Number

pith:J7SOHGSG

pith:2011:J7SOHGSGEOP5LK6JOUWO53HQ55

not attested not anchored not stored refs pending

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

Carlos Gustavo Moreira, Jorge Erick L\'opez Vel\'azquez

arxiv:1106.5776 v2 · 2011-06-28 · 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{J7SOHGSGEOP5LK6JOUWO53HQ55}

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	2026-05-18T04:19:11.726970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe4e39a46239fd5abc9752ceeecf0ef75f42142a12f04826c49d3e685bc2589

Aliases

arxiv: 1106.5776 · arxiv_version: 1106.5776v2 · doi: 10.48550/arxiv.1106.5776 · pith_short_12: J7SOHGSGEOP5 · pith_short_16: J7SOHGSGEOP5LK6J · pith_short_8: J7SOHGSG

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/J7SOHGSGEOP5LK6JOUWO53HQ55 \
  | 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: 4fe4e39a46239fd5abc9752ceeecf0ef75f42142a12f04826c49d3e685bc2589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b8e462131bf2c266fb52eaebfd30f2a8af47d45b67cb22a1718d480267939b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-28T19:42:26Z",
    "title_canon_sha256": "0104a788a0f3bea825a7d1bcb4ec58f969d8ff7c8923cc1159e6521ebfac3aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5776",
    "kind": "arxiv",
    "version": 2
  }
}