Pith Number

pith:6MM2DZQI

pith:2019:6MM2DZQIILBYIVRNBRGWTOARXT

not attested not anchored not stored refs pending

Multilinear Fractional Integral Operators: A counter-example

Pablo Rocha

arxiv:1908.00668 v2 · 2019-08-02 · 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{6MM2DZQIILBYIVRNBRGWTOARXT}

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	2026-07-05T00:57:33.620661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f319a1e60842c384562d0c4d69b811bcfd097533090cc92698464a642dfa25e6

Aliases

arxiv: 1908.00668 · arxiv_version: 1908.00668v2 · doi: 10.48550/arxiv.1908.00668 · pith_short_12: 6MM2DZQIILBY · pith_short_16: 6MM2DZQIILBYIVRN · pith_short_8: 6MM2DZQI

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/6MM2DZQIILBYIVRNBRGWTOARXT \
  | 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: f319a1e60842c384562d0c4d69b811bcfd097533090cc92698464a642dfa25e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c90a4646958ae61d39ae11319e28fd01e575942076f9648dce9fa1cd1ad65928",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-02T00:30:25Z",
    "title_canon_sha256": "a21c5a92bef5a1838f2ae812fc2a98a134896d606ff2f4147bec271c16d70ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00668",
    "kind": "arxiv",
    "version": 2
  }
}