Pith Number

pith:TZXBLPGN

pith:2012:TZXBLPGNDIDY5CNLUF2TGVRU7O

not attested not anchored not stored refs pending

Maximal Functions for Lacunary Dilation Structures

Patrick LaVictoire

arxiv:1210.7379 v1 · 2012-10-27 · 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{TZXBLPGNDIDY5CNLUF2TGVRU7O}

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	2026-05-18T03:42:10.253026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e6e15bccd1a078e89aba175335634fb809b0bc1d3cff91011b477ba8658b801

Aliases

arxiv: 1210.7379 · arxiv_version: 1210.7379v1 · doi: 10.48550/arxiv.1210.7379 · pith_short_12: TZXBLPGNDIDY · pith_short_16: TZXBLPGNDIDY5CNL · pith_short_8: TZXBLPGN

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/TZXBLPGNDIDY5CNLUF2TGVRU7O \
  | 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: 9e6e15bccd1a078e89aba175335634fb809b0bc1d3cff91011b477ba8658b801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b124e357830f93aebf2010bcc781cae9a6faa4684de629ecc2dc333072d44835",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-27T22:46:21Z",
    "title_canon_sha256": "2e0ddd5ab0d965fb3399ca2e386595b29213c2ad248564d4ad08d79a3375b35e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7379",
    "kind": "arxiv",
    "version": 1
  }
}