Pith Number

pith:QPWKJXVT

pith:2011:QPWKJXVTKAXXW45IIDQNVBP3M5

not attested not anchored not stored refs pending

Transverse invariant measures extends to the ambient space

Carlos Meni\~no Cot\'on

arxiv:1103.4696 v1 · 2011-03-24 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPWKJXVTKAXXW45IIDQNVBP3M5}

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	2026-05-18T03:51:23.890913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83eca4deb3502f7b73a840e0da85fb67504a9be14221bbd989ef1f26597ffb4c

Aliases

arxiv: 1103.4696 · arxiv_version: 1103.4696v1 · doi: 10.48550/arxiv.1103.4696 · pith_short_12: QPWKJXVTKAXX · pith_short_16: QPWKJXVTKAXXW45I · pith_short_8: QPWKJXVT

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/QPWKJXVTKAXXW45IIDQNVBP3M5 \
  | 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: 83eca4deb3502f7b73a840e0da85fb67504a9be14221bbd989ef1f26597ffb4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f257a21a988ffb01e5b995afa1c77130602b3e50d6843080c29eebb7442e9242",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-24T08:19:03Z",
    "title_canon_sha256": "21d65e7e7b74fa2270693f77205de5dd2e4a675e3595649a908457cf59f88bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4696",
    "kind": "arxiv",
    "version": 1
  }
}