Pith Number

pith:XWKPMUDI

pith:2018:XWKPMUDIAF3SRFOF74RXFEK2OX

not attested not anchored not stored refs pending

$\mathrm{L}^1$-estimates for constant rank operators

Bogdan Rai\c{t}\u{a}

arxiv:1811.10057 v1 · 2018-11-25 · 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{XWKPMUDIAF3SRFOF74RXFEK2OX}

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	2026-05-17T23:59:58.795062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd94f6506801772895c5ff2372915a75ddbc2a26835feba790cfa6b710067d03

Aliases

arxiv: 1811.10057 · arxiv_version: 1811.10057v1 · doi: 10.48550/arxiv.1811.10057 · pith_short_12: XWKPMUDIAF3S · pith_short_16: XWKPMUDIAF3SRFOF · pith_short_8: XWKPMUDI

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/XWKPMUDIAF3SRFOF74RXFEK2OX \
  | 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: bd94f6506801772895c5ff2372915a75ddbc2a26835feba790cfa6b710067d03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca1d163db0b50c7a8dea69e1bcf0e1ce85bc340ab7cdcb47a1a9c2a5225ca5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-25T17:07:37Z",
    "title_canon_sha256": "8c8a68a875a54a2dbe9f6cab86127cabce03e0866898f07e4efc3c34b4497864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10057",
    "kind": "arxiv",
    "version": 1
  }
}