Pith Number

pith:6NROWGEM

pith:2011:6NROWGEMJ77V3CFDK56667CUVY

not attested not anchored not stored refs pending

Less than $2^{\omega}$ many translates of a compact nullset may cover the real line

Juris Stepr\=ans, M\'arton Elekes

arxiv:1109.5307 v1 · 2011-09-24 · math.LO · 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{6NROWGEMJ77V3CFDK56667CUVY}

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	2026-05-18T04:12:20.072599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f362eb188c4fff5d88a3577def7c54ae06ac1abc714f42a13068b7903cf6c168

Aliases

arxiv: 1109.5307 · arxiv_version: 1109.5307v1 · doi: 10.48550/arxiv.1109.5307 · pith_short_12: 6NROWGEMJ77V · pith_short_16: 6NROWGEMJ77V3CFD · pith_short_8: 6NROWGEM

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/6NROWGEMJ77V3CFDK56667CUVY \
  | 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: f362eb188c4fff5d88a3577def7c54ae06ac1abc714f42a13068b7903cf6c168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "781fccb7aed840374966e3bdf5abf71213c0b9fb4df3c78d83e36f69a276d701",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-09-24T20:58:11Z",
    "title_canon_sha256": "02b5e946a1a1a1660f1333964b83e9657f5fc869b91de765d836a333ee00976f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5307",
    "kind": "arxiv",
    "version": 1
  }
}