Pith Number

pith:MRTJWSLS

pith:2010:MRTJWSLSS6CAA4EWF6Y2NWUAVM

not attested not anchored not stored refs pending

Existence of doubling measures via generalised nested cubes

Antti K\"aenm\"aki, Tapio Rajala, Ville Suomala

arxiv:1011.0683 v2 · 2010-11-02 · 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{MRTJWSLSS6CAA4EWF6Y2NWUAVM}

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	2026-05-18T00:51:34.466477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64669b497297840070962fb1a6da80ab07af4d3a1c45e2c63b32cea0ca69a919

Aliases

arxiv: 1011.0683 · arxiv_version: 1011.0683v2 · doi: 10.48550/arxiv.1011.0683 · pith_short_12: MRTJWSLSS6CA · pith_short_16: MRTJWSLSS6CAA4EW · pith_short_8: MRTJWSLS

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/MRTJWSLSS6CAA4EWF6Y2NWUAVM \
  | 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: 64669b497297840070962fb1a6da80ab07af4d3a1c45e2c63b32cea0ca69a919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7428978a64df15d4ba7d1762400424228fa226de5da575eeaef75117a7e6ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-02T17:38:06Z",
    "title_canon_sha256": "4c0a9ca6333f413454920a62b22ddc5ca12ae461114ad117c9db09bc2a8d4056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0683",
    "kind": "arxiv",
    "version": 2
  }
}