Pith Number

pith:P5DAIWZE

pith:2015:P5DAIWZEWIMGG52BHYVPJYXHGM

not attested not anchored not stored refs pending

Characterization of $n$-rectifiability in terms of Jones' square function: Part I

Xavier Tolsa

arxiv:1501.01569 v3 · 2015-01-07 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5DAIWZEWIMGG52BHYVPJYXHGM}

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	2026-05-18T00:30:49.592624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f46045b24b2186377413e2af4e2e7333170fbbec3c8125903f95d0bebb14975

Aliases

arxiv: 1501.01569 · arxiv_version: 1501.01569v3 · doi: 10.48550/arxiv.1501.01569 · pith_short_12: P5DAIWZEWIMG · pith_short_16: P5DAIWZEWIMGG52B · pith_short_8: P5DAIWZE

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/P5DAIWZEWIMGG52BHYVPJYXHGM \
  | 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: 7f46045b24b2186377413e2af4e2e7333170fbbec3c8125903f95d0bebb14975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de9d0497142f5a0ba04cda228ca84dcdd28fd76bdf361b6af948d7d673e3066",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-07T17:38:05Z",
    "title_canon_sha256": "52f1cf35019fa112e90ebdb163232798c1f2e70bdc37277797b71b134058eb88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01569",
    "kind": "arxiv",
    "version": 3
  }
}