Pith Number

pith:BXJWGYAN

pith:2003:BXJWGYANOTZJ2FE4TWSHK6XZG5

not attested not anchored not stored refs pending

Bi-parameter paraproducts

Camil Muscalu, Christoph Thiele, Jill Pipher, Terence Tao

arxiv:math/0310367 v2 · 2003-10-23 · 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{BXJWGYANOTZJ2FE4TWSHK6XZG5}

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	2026-05-18T03:30:14.157970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd363600d74f29d149c9da4757af9377b74a432693e26d1ef51948ecb613012

Aliases

arxiv: math/0310367 · arxiv_version: math/0310367v2 · doi: 10.48550/arxiv.math/0310367 · pith_short_12: BXJWGYANOTZJ · pith_short_16: BXJWGYANOTZJ2FE4 · pith_short_8: BXJWGYAN

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/BXJWGYANOTZJ2FE4TWSHK6XZG5 \
  | 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: 0dd363600d74f29d149c9da4757af9377b74a432693e26d1ef51948ecb613012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2415297d1b9cab08495a515514228f6e22840ff5d332f720dcaad58ccacd9fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2003-10-23T01:04:08Z",
    "title_canon_sha256": "ad032ba54aec61b2c59a59e521a1af6e030fdc85e45a369cc5ba727aac26927a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310367",
    "kind": "arxiv",
    "version": 2
  }
}