Pith Number

pith:QUFOQ7EF

pith:2016:QUFOQ7EFFSDOT7DSUP4HXZHZ6G

not attested not anchored not stored refs pending

An elementary approach to certain bilinear estimates

Jarod Hart, Jose A. Barrionuevo, Lucas Oliveira

arxiv:1602.03675 v1 · 2016-02-11 · math.CA · 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{QUFOQ7EFFSDOT7DSUP4HXZHZ6G}

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	2026-05-18T01:20:56.845254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

850ae87c852c86e9fc72a3f87be4f9f1996aa5a0bb999b0756a3d29d4959339e

Aliases

arxiv: 1602.03675 · arxiv_version: 1602.03675v1 · doi: 10.48550/arxiv.1602.03675 · pith_short_12: QUFOQ7EFFSDO · pith_short_16: QUFOQ7EFFSDOT7DS · pith_short_8: QUFOQ7EF

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/QUFOQ7EFFSDOT7DSUP4HXZHZ6G \
  | 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: 850ae87c852c86e9fc72a3f87be4f9f1996aa5a0bb999b0756a3d29d4959339e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88b45a2bdc8a58d55131ef5e7e6cd4125098888d246c9cf4856500fb41da9cf1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-11T11:07:38Z",
    "title_canon_sha256": "b38a57dfe2dec61602a41453f03e45c3959ecd12d5d8a609d040a01961f6c676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03675",
    "kind": "arxiv",
    "version": 1
  }
}