Pith Number

pith:7LOKKM57

pith:2015:7LOKKM57SPMQF42V3VGMWP6RH3

not attested not anchored not stored refs pending

Large deviations for random projections of $\ell^p$ balls

Kavita Ramanan, Nina Gantert, Steven Soojin Kim

arxiv:1512.04988 v1 · 2015-12-15 · 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{7LOKKM57SPMQF42V3VGMWP6RH3}

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	2026-05-18T01:24:13.801977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fadca533bf93d902f355dd4ccb3fd13eda468c5b227a34eeb8ef7cc15a04de02

Aliases

arxiv: 1512.04988 · arxiv_version: 1512.04988v1 · doi: 10.48550/arxiv.1512.04988 · pith_short_12: 7LOKKM57SPMQ · pith_short_16: 7LOKKM57SPMQF42V · pith_short_8: 7LOKKM57

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/7LOKKM57SPMQF42V3VGMWP6RH3 \
  | 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: fadca533bf93d902f355dd4ccb3fd13eda468c5b227a34eeb8ef7cc15a04de02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5fb83ee96a6c1ecc04fb429e91fe8fbdece04989c30c2aa687f2343130c920",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-15T22:20:10Z",
    "title_canon_sha256": "0f9a90cbe2178a09b6ddc771cefb98ff492d33108ac073697c8f95ba88ef9531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04988",
    "kind": "arxiv",
    "version": 1
  }
}