Pith Number

pith:7ZS2S3EW

pith:2014:7ZS2S3EWL6DJSBYNTCYDDXNZKK

not attested not anchored not stored refs pending

Some endpoint estimates for bilinear paraproducts and applications

Salvador Rodr\'iguez-L\'opez, Wolfgang Staubach

arxiv:1406.1663 v2 · 2014-06-06 · 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{7ZS2S3EWL6DJSBYNTCYDDXNZKK}

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	2026-05-18T02:49:02.984332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe65a96c965f8699070d98b031ddb952863b6a91a73cfb015b5fecca4a991b16

Aliases

arxiv: 1406.1663 · arxiv_version: 1406.1663v2 · doi: 10.48550/arxiv.1406.1663 · pith_short_12: 7ZS2S3EWL6DJ · pith_short_16: 7ZS2S3EWL6DJSBYN · pith_short_8: 7ZS2S3EW

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/7ZS2S3EWL6DJSBYNTCYDDXNZKK \
  | 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: fe65a96c965f8699070d98b031ddb952863b6a91a73cfb015b5fecca4a991b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e47d68c1122aa12d7bd976bbd1533296ba328c51cf98ec369683a1bb42ba29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-06T12:32:31Z",
    "title_canon_sha256": "a8480e966fbe8c9899019e6e4f285e8d47f25694b8d51eb37085b7d3d80e2237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1663",
    "kind": "arxiv",
    "version": 2
  }
}