Pith Number

pith:32ANMLXO

pith:2013:32ANMLXOBT363EIXNLWFQQHQ6D

not attested not anchored not stored refs pending

Bruckner--Garg-type results with respect to Haar null sets in $C[0,1]$

M\'arton Elekes, Rich\'ard Balka, Udayan B. Darji

arxiv:1311.5293 v2 · 2013-11-21 · 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{32ANMLXOBT363EIXNLWFQQHQ6D}

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	2026-05-18T01:10:18.691752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de80d62eee0cf7ed91176aec5840f0f0df80d39193fccdbcf3bebf7ac91dbcbd

Aliases

arxiv: 1311.5293 · arxiv_version: 1311.5293v2 · doi: 10.48550/arxiv.1311.5293 · pith_short_12: 32ANMLXOBT36 · pith_short_16: 32ANMLXOBT363EIX · pith_short_8: 32ANMLXO

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/32ANMLXOBT363EIXNLWFQQHQ6D \
  | 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: de80d62eee0cf7ed91176aec5840f0f0df80d39193fccdbcf3bebf7ac91dbcbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a898191376ee802a3cd94c7f899cde64d2da7df3ec559b5e612ffd628128470f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-21T02:27:44Z",
    "title_canon_sha256": "daa0191c3a79cd32f512197419bd2273f370dbe11b78ad9154b34382eb15a8eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5293",
    "kind": "arxiv",
    "version": 2
  }
}