Pith Number

pith:H2VTBZAV

pith:2012:H2VTBZAVNFPKQIWSWGMOIPJADP

not attested not anchored not stored refs pending

An undecidable case of lineability in R^R

Jose Luis Gamez-Merino, Juan B. Seoane-Sepulveda

arxiv:1207.2906 v1 · 2012-07-12 · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2VTBZAVNFPKQIWSWGMOIPJADP}

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	2026-05-18T03:51:13.484784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eab30e415695ea822d2b198e43d201be531390ac1bea1b5cfdcfb68d8c842d9

Aliases

arxiv: 1207.2906 · arxiv_version: 1207.2906v1 · doi: 10.48550/arxiv.1207.2906 · pith_short_12: H2VTBZAVNFPK · pith_short_16: H2VTBZAVNFPKQIWS · pith_short_8: H2VTBZAV

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/H2VTBZAVNFPKQIWSWGMOIPJADP \
  | 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: 3eab30e415695ea822d2b198e43d201be531390ac1bea1b5cfdcfb68d8c842d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f575dd0767fd44a1207cee722e077191ab42f35caa9b7383c80985f39afe962",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-12T10:25:43Z",
    "title_canon_sha256": "d5cf7e4d79079c50f6182389909e2d292ef9a1b01863645986792c200279c5d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2906",
    "kind": "arxiv",
    "version": 1
  }
}