Pith Number

pith:SSEWT2VA

pith:2015:SSEWT2VAXGO6PJTK6NGJBC77HC

not attested not anchored not stored refs pending

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

Jonas Azzam, Xavier Tolsa

arxiv:1501.01572 v2 · 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{SSEWT2VAXGO6PJTK6NGJBC77HC}

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	2026-05-18T02:29:10.106269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

948969eaa0b99de7a66af34c908bff38893249e9460d97620d05e62af1649919

Aliases

arxiv: 1501.01572 · arxiv_version: 1501.01572v2 · doi: 10.48550/arxiv.1501.01572 · pith_short_12: SSEWT2VAXGO6 · pith_short_16: SSEWT2VAXGO6PJTK · pith_short_8: SSEWT2VA

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/SSEWT2VAXGO6PJTK6NGJBC77HC \
  | 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: 948969eaa0b99de7a66af34c908bff38893249e9460d97620d05e62af1649919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9deb14a2b0f7c14a0a69e513a6b2e25eadb922283a9341a5ece7da32762faa1e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-07T17:47:33Z",
    "title_canon_sha256": "2b19be341876b5bf8ec9331642ea971959f8ef80e6a3229ffb652d36c896f43e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01572",
    "kind": "arxiv",
    "version": 2
  }
}