Pith Number

pith:GTM3R5HE

pith:2015:GTM3R5HEED4UVWY4NBEGJOS5J5

not attested not anchored not stored refs pending

Banach-valued multilinear singular integrals

Francesco Di Plinio, Yumeng Ou

arxiv:1506.05827 v3 · 2015-06-18 · math.CA · math.AP · 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{GTM3R5HEED4UVWY4NBEGJOS5J5}

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	2026-05-18T00:48:43.255871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d9b8f4e420f94adb1c684864ba5d4f5422e2f337d7af59ecb82575fb9e211d

Aliases

arxiv: 1506.05827 · arxiv_version: 1506.05827v3 · doi: 10.48550/arxiv.1506.05827 · pith_short_12: GTM3R5HEED4U · pith_short_16: GTM3R5HEED4UVWY4 · pith_short_8: GTM3R5HE

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/GTM3R5HEED4UVWY4NBEGJOS5J5 \
  | 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: 34d9b8f4e420f94adb1c684864ba5d4f5422e2f337d7af59ecb82575fb9e211d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550529c684df4523d1a0fdf88aba3f2563fe8138fca9cab81251604d72784754",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-18T21:25:29Z",
    "title_canon_sha256": "4a48f64e761f3661fba1dd042e5ddd8062adbb52c0d87614deb791cff9754018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05827",
    "kind": "arxiv",
    "version": 3
  }
}