Pith Number

pith:TPO4N2DQ

pith:2014:TPO4N2DQEZQUWRRYGNRZEXPLL4

not attested not anchored not stored refs pending

Square functions and uniform rectifiability

John Garnett, Triet Le, Vasilis Chousionis, Xavier Tolsa

arxiv:1401.3382 v1 · 2014-01-14 · 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{TPO4N2DQEZQUWRRYGNRZEXPLL4}

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	2026-05-18T01:02:21.425376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bddc6e87026614b46383363925deb5f0d06d3058f040851e3fac52206d70d64

Aliases

arxiv: 1401.3382 · arxiv_version: 1401.3382v1 · doi: 10.48550/arxiv.1401.3382 · pith_short_12: TPO4N2DQEZQU · pith_short_16: TPO4N2DQEZQUWRRY · pith_short_8: TPO4N2DQ

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/TPO4N2DQEZQUWRRYGNRZEXPLL4 \
  | 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: 9bddc6e87026614b46383363925deb5f0d06d3058f040851e3fac52206d70d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46f4123a1ba2de0a7ac05a0376f395b7a7dc0a9e25947e8ce68df88e9819460e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-14T23:03:17Z",
    "title_canon_sha256": "d786604d6698a515b78d67073689e4f7fc00ee23f16ee0641069f5176b79bbe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3382",
    "kind": "arxiv",
    "version": 1
  }
}