Pith Number

pith:S3P7PAYP

pith:2015:S3P7PAYPQBXPS3CCTD2SSR25KL

not attested not anchored not stored refs pending

Multiple Vector Valued Inequalities via the Helicoidal Method

Camil Muscalu, Cristina Benea

arxiv:1511.04948 v2 · 2015-11-16 · 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{S3P7PAYPQBXPS3CCTD2SSR25KL}

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	2026-05-18T00:52:09.569860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96dff7830f806ef96c4298f529475d52f3d83908a02f3c39a6c9d9ac94006c75

Aliases

arxiv: 1511.04948 · arxiv_version: 1511.04948v2 · doi: 10.48550/arxiv.1511.04948 · pith_short_12: S3P7PAYPQBXP · pith_short_16: S3P7PAYPQBXPS3CC · pith_short_8: S3P7PAYP

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/S3P7PAYPQBXPS3CCTD2SSR25KL \
  | 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: 96dff7830f806ef96c4298f529475d52f3d83908a02f3c39a6c9d9ac94006c75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d2ea840d486029e1106921a425df85a1c533c9bafccd8538874be21b7a76fe9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-16T13:12:28Z",
    "title_canon_sha256": "c64befb412423aeab68038d9ef4482fe0d7e6b50f4ec530926faa631947bc335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04948",
    "kind": "arxiv",
    "version": 2
  }
}