Pith Number

pith:TYBYOCZD

pith:2017:TYBYOCZDPDR52LVR72TIU47WUX

not attested not anchored not stored refs pending

On the tightness of Gaussian concentration for convex functions

Petros Valettas

arxiv:1706.09446 v1 · 2017-06-28 · 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{TYBYOCZDPDR52LVR72TIU47WUX}

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	2026-05-18T00:41:17.294397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e03870b2378e3dd2eb1fea68a73f6a5fb06791aeb26c1a9dbce555806dcd9e4

Aliases

arxiv: 1706.09446 · arxiv_version: 1706.09446v1 · doi: 10.48550/arxiv.1706.09446 · pith_short_12: TYBYOCZDPDR5 · pith_short_16: TYBYOCZDPDR52LVR · pith_short_8: TYBYOCZD

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/TYBYOCZDPDR52LVR72TIU47WUX \
  | 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: 9e03870b2378e3dd2eb1fea68a73f6a5fb06791aeb26c1a9dbce555806dcd9e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60e081e9df5ced57b2ca113fd56433c637aeca2f30cf78efee0f5459e8aafe5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-28T19:09:52Z",
    "title_canon_sha256": "bbf211edc34006b67cf9926ed8b296d4f7c8d5ecb99650598ca14d3e61775acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09446",
    "kind": "arxiv",
    "version": 1
  }
}