Pith Number

pith:B4RI2RZC

pith:2014:B4RI2RZCOH6MXX2KBJRUIXDVEX

not attested not anchored not stored refs pending

Optimal estimates for summing multilinear operators

Daniel Pellegrino, Gustavo Araujo

arxiv:1403.6064 v4 · 2014-03-24 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4RI2RZCOH6MXX2KBJRUIXDVEX}

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	2026-05-18T01:33:57.102936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f228d472271fccbdf4a0a63445c7525c7f4b7bfefa0951faedf368de880035c

Aliases

arxiv: 1403.6064 · arxiv_version: 1403.6064v4 · doi: 10.48550/arxiv.1403.6064 · pith_short_12: B4RI2RZCOH6M · pith_short_16: B4RI2RZCOH6MXX2K · pith_short_8: B4RI2RZC

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/B4RI2RZCOH6MXX2KBJRUIXDVEX \
  | 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: 0f228d472271fccbdf4a0a63445c7525c7f4b7bfefa0951faedf368de880035c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af5e193d256fefd05aacfa4f18e6460e39903ddfd2ef38935a77b3b17bc81a45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-24T18:00:03Z",
    "title_canon_sha256": "48901bebd33f55cd1a76063ef88303f1b4700f07481680eca9a7d1be96762d9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6064",
    "kind": "arxiv",
    "version": 4
  }
}