Pith Number

pith:LIGZJSPP

pith:2018:LIGZJSPPHKKW74J5UZKRA67SGG

not attested not anchored not stored refs pending

Sanov-type large deviations in Schatten classes

Christoph Thaele, Joscha Prochno, Zakhar Kabluchko

arxiv:1808.04862 v1 · 2018-08-14 · math.PR · 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{LIGZJSPPHKKW74J5UZKRA67SGG}

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	2026-05-18T00:08:02.361850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0d94c9ef3a956ff13da655107bf2318e6ddb413017709505adf763805120b8

Aliases

arxiv: 1808.04862 · arxiv_version: 1808.04862v1 · doi: 10.48550/arxiv.1808.04862 · pith_short_12: LIGZJSPPHKKW · pith_short_16: LIGZJSPPHKKW74J5 · pith_short_8: LIGZJSPP

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/LIGZJSPPHKKW74J5UZKRA67SGG \
  | 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: 5a0d94c9ef3a956ff13da655107bf2318e6ddb413017709505adf763805120b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4df872e9c26565f4905964f9cd9ae77351cd35b20ece3a5d16a410f622ac869",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-14T19:04:26Z",
    "title_canon_sha256": "33ef920eedb0aea533971e2c4478b6025bfda13f0e0d30603822bc932c5d8773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04862",
    "kind": "arxiv",
    "version": 1
  }
}