Pith Number

pith:5QE4HIP2

pith:2016:5QE4HIP2SQDRDHQEVVIFK7LNRK

not attested not anchored not stored refs pending

Large deviations for high-dimensional random projections of $\ell_p^n$-balls

Christoph Thaele, David Alonso-Guti\'errez, Joscha Prochno

arxiv:1608.03863 v3 · 2016-08-12 · 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{5QE4HIP2SQDRDHQEVVIFK7LNRK}

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	2026-05-18T00:42:12.854358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec09c3a1fa9407119e04ad50557d6d8a9e52e2c204c5663c35050a4d589afacb

Aliases

arxiv: 1608.03863 · arxiv_version: 1608.03863v3 · doi: 10.48550/arxiv.1608.03863 · pith_short_12: 5QE4HIP2SQDR · pith_short_16: 5QE4HIP2SQDRDHQE · pith_short_8: 5QE4HIP2

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/5QE4HIP2SQDRDHQEVVIFK7LNRK \
  | 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: ec09c3a1fa9407119e04ad50557d6d8a9e52e2c204c5663c35050a4d589afacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3415c83807d04154fb4baa61f6f917b4c8554e5491643656224c8c5ca86ba490",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-12T18:08:06Z",
    "title_canon_sha256": "42be2f7bc5e412f9f1c49602cc1085cd374f7695aeec7fa6827060ba6b25e288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03863",
    "kind": "arxiv",
    "version": 3
  }
}