Pith Number

pith:SPLPZCKV

pith:2013:SPLPZCKVU5K2LI43WCHFRIIHLT

not attested not anchored not stored refs pending

Haar null sets without $G_\delta$ hulls

M\'arton Elekes, Zolt\'an Vidny\'anszky

arxiv:1312.7667 v4 · 2013-12-30 · math.LO · 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{SPLPZCKVU5K2LI43WCHFRIIHLT}

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	2026-05-18T01:23:20.952898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d6fc8955a755a5a39bb08e58a1075cf792d97672982df9aac883b429502896

Aliases

arxiv: 1312.7667 · arxiv_version: 1312.7667v4 · doi: 10.48550/arxiv.1312.7667 · pith_short_12: SPLPZCKVU5K2 · pith_short_16: SPLPZCKVU5K2LI43 · pith_short_8: SPLPZCKV

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/SPLPZCKVU5K2LI43WCHFRIIHLT \
  | 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: 93d6fc8955a755a5a39bb08e58a1075cf792d97672982df9aac883b429502896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de2c804f2178088406b3b83665f6e94fefb9760dfdf8f8ba1b1a694b0b0eb55",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-12-30T09:42:33Z",
    "title_canon_sha256": "08edcc4b9a0875fc48b397977222e344e41a56f3a7b45a1aabc30d138cb89517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7667",
    "kind": "arxiv",
    "version": 4
  }
}