Pith Number

pith:DHNSXCSB

pith:2012:DHNSXCSBYCW6VDOMHGZ6A4X2YC

not attested not anchored not stored refs pending

Needles and Straw in a Haystack: Posterior concentration for possibly sparse sequences

Aad van der Vaart, Isma\"el Castillo

arxiv:1211.1197 v1 · 2012-11-06 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHNSXCSBYCW6VDOMHGZ6A4X2YC}

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	2026-05-18T03:41:22.067968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19db2b8a41c0adea8dcc39b3e072fac08ad45e8f477d1c0c21d9ede0db7e2fda

Aliases

arxiv: 1211.1197 · arxiv_version: 1211.1197v1 · doi: 10.48550/arxiv.1211.1197 · pith_short_12: DHNSXCSBYCW6 · pith_short_16: DHNSXCSBYCW6VDOM · pith_short_8: DHNSXCSB

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/DHNSXCSBYCW6VDOMHGZ6A4X2YC \
  | 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: 19db2b8a41c0adea8dcc39b3e072fac08ad45e8f477d1c0c21d9ede0db7e2fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410c684a94cb807eb43a8de97a191875de50bf262473dc639f73af128fe63e09",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-11-06T12:18:35Z",
    "title_canon_sha256": "5a5820264c1dcfcf5ac647924a98dbbef929146a007b66997cdac515c626c1c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1197",
    "kind": "arxiv",
    "version": 1
  }
}