Pith Number

pith:FQ2QOPMP

pith:2017:FQ2QOPMPHGOJA2CZ7QTBYOGRFY

not attested not anchored not stored refs pending

Higher Order Concentration of Measure

Friedrich G\"otze, Holger Sambale, Sergey G. Bobkov

arxiv:1709.06838 v2 · 2017-09-20 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQ2QOPMPHGOJA2CZ7QTBYOGRFY}

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	2026-05-18T00:08:23.496559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c35073d8f399c906859fc261c38d12e0783f0ac2cb787255d977277cadd7a19

Aliases

arxiv: 1709.06838 · arxiv_version: 1709.06838v2 · doi: 10.48550/arxiv.1709.06838 · pith_short_12: FQ2QOPMPHGOJ · pith_short_16: FQ2QOPMPHGOJA2CZ · pith_short_8: FQ2QOPMP

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/FQ2QOPMPHGOJA2CZ7QTBYOGRFY \
  | 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: 2c35073d8f399c906859fc261c38d12e0783f0ac2cb787255d977277cadd7a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d045081fc80a1e91fd0cfadcf9304c06f30d62eb40fd2a5500352541220cfcb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-20T12:52:39Z",
    "title_canon_sha256": "9dfebd844dc393b8ae543a7fe7c26a384de7942acc7ee511df3f8c6e57d57f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06838",
    "kind": "arxiv",
    "version": 2
  }
}