Pith Number

pith:MJXOIBLS

pith:2017:MJXOIBLSWKUVAHWEB43G5YUETC

not attested not anchored not stored refs pending

From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity

Alexander Volberg, Paata Ivanisvili

arxiv:1709.08095 v1 · 2017-09-23 · math.AP · math.CV · 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{MJXOIBLSWKUVAHWEB43G5YUETC}

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	2026-05-18T00:34:28.015797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

626ee40572b2a9501ec40f366ee28498adfdc7a2ec1e893b3739310fbc423678

Aliases

arxiv: 1709.08095 · arxiv_version: 1709.08095v1 · doi: 10.48550/arxiv.1709.08095 · pith_short_12: MJXOIBLSWKUV · pith_short_16: MJXOIBLSWKUVAHWE · pith_short_8: MJXOIBLS

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/MJXOIBLSWKUVAHWEB43G5YUETC \
  | 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: 626ee40572b2a9501ec40f366ee28498adfdc7a2ec1e893b3739310fbc423678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df9281bd5f0aac6ef13123d54a31270bc6f1c966e4e7cde072d84cb08898c5a2",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-23T18:38:38Z",
    "title_canon_sha256": "cd0af9305972b459847d71ed0d1972c29899a4e4f81f49fb01f5a29728ef2d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08095",
    "kind": "arxiv",
    "version": 1
  }
}