Pith Number

pith:BBTNBIG5

pith:2015:BBTNBIG5PWOV3L7HOYL5PPUQBS

not attested not anchored not stored refs pending

On the Kato problem and extensions for degenerate elliptic operators

Cristian Rios, David Cruz-Uribe, Jos\'e Mar\'ia Martell

arxiv:1510.06790 v7 · 2015-10-23 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBTNBIG5PWOV3L7HOYL5PPUQBS}

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	2026-05-18T00:03:50.598829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0866d0a0dd7d9d5dafe77617d7be900c86b19f7fdc37fa35ee76429c0a73918b

Aliases

arxiv: 1510.06790 · arxiv_version: 1510.06790v7 · doi: 10.48550/arxiv.1510.06790 · pith_short_12: BBTNBIG5PWOV · pith_short_16: BBTNBIG5PWOV3L7H · pith_short_8: BBTNBIG5

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/BBTNBIG5PWOV3L7HOYL5PPUQBS \
  | 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: 0866d0a0dd7d9d5dafe77617d7be900c86b19f7fdc37fa35ee76429c0a73918b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac72e39e4280f752e0e9789ed5f18899e32a84042990d9e4cc9b660a6deee6cf",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-23T00:01:17Z",
    "title_canon_sha256": "a61346f9afa68761204c713ed8c53890d042ab03d8c1fb0d2086f8ddc139b35b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06790",
    "kind": "arxiv",
    "version": 7
  }
}