Pith Number

pith:ALFFHHDA

pith:2020:ALFFHHDAXSFLJIRIKDJ5RF5VV5

not attested not anchored not stored refs pending

Central Limit Theorem in High Dimensions : The Optimal Bound on Dimension Growth Rate

Debraj Das, Soumendra Lahiri

arxiv:2008.04389 v1 · 2020-08-10 · 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{ALFFHHDAXSFLJIRIKDJ5RF5VV5}

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	2026-07-05T01:26:24.598947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ca539c60bc8ab4a22850d3d897b5af558b5504cb003377798edbc21be3c9e9

Aliases

arxiv: 2008.04389 · arxiv_version: 2008.04389v1 · doi: 10.48550/arxiv.2008.04389 · pith_short_12: ALFFHHDAXSFL · pith_short_16: ALFFHHDAXSFLJIRI · pith_short_8: ALFFHHDA

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/ALFFHHDAXSFLJIRIKDJ5RF5VV5 \
  | 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: 02ca539c60bc8ab4a22850d3d897b5af558b5504cb003377798edbc21be3c9e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b090a3825feaff08734b97b3ad0f2afc04d6f1489048a20b89e6340a850e5778",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-08-10T19:53:57Z",
    "title_canon_sha256": "7b48a8a74108ce3e4f35e6e2e6bc2e670b833c2721a54e379120ea43ccd2a68e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.04389",
    "kind": "arxiv",
    "version": 1
  }
}