Pith Number

pith:SYMVDYV5

pith:2010:SYMVDYV5NUPTPPABGUB4PYIQWU

not attested not anchored not stored refs pending

Boundedness of the twisted paraproduct

Vjekoslav Kova\v{c}

arxiv:1011.6140 v1 · 2010-11-29 · 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{SYMVDYV5NUPTPPABGUB4PYIQWU}

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	2026-05-18T03:43:05.424099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

961951e2bd6d1f37bc013503c7e110b51d5b62133795e52327d525d58abdaeea

Aliases

arxiv: 1011.6140 · arxiv_version: 1011.6140v1 · doi: 10.48550/arxiv.1011.6140 · pith_short_12: SYMVDYV5NUPT · pith_short_16: SYMVDYV5NUPTPPAB · pith_short_8: SYMVDYV5

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/SYMVDYV5NUPTPPABGUB4PYIQWU \
  | 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: 961951e2bd6d1f37bc013503c7e110b51d5b62133795e52327d525d58abdaeea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b35003924eb8786eaf943e4a533b52f317c71fcb9b93544f97f2c395b0132162",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-29T07:15:49Z",
    "title_canon_sha256": "b2a05dd292340971b3aa4eb6b01ce7994f4c2cf55906a4fd8554d5500251ae4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6140",
    "kind": "arxiv",
    "version": 1
  }
}