Pith Number

pith:XL5F5YWW

pith:2013:XL5F5YWWOHNKH43REKR6YCF3JW

not attested not anchored not stored refs pending

Exponential Approximation of Bandlimited Random Processes from Oversampling

Haizhang Zhang, Wenjian Chen

arxiv:1303.2305 v3 · 2013-03-10 · 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{XL5F5YWWOHNKH43REKR6YCF3JW}

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	2026-05-18T03:01:46.721030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bafa5ee2d671daa3f37122a3ec08bb4db35652ea879cb2c3657fe30f1ff261d3

Aliases

arxiv: 1303.2305 · arxiv_version: 1303.2305v3 · doi: 10.48550/arxiv.1303.2305 · pith_short_12: XL5F5YWWOHNK · pith_short_16: XL5F5YWWOHNKH43R · pith_short_8: XL5F5YWW

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/XL5F5YWWOHNKH43REKR6YCF3JW \
  | 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: bafa5ee2d671daa3f37122a3ec08bb4db35652ea879cb2c3657fe30f1ff261d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61c3275d3edc0779deb21af0da9b72bc84a2155c96eed416ccebee306a571745",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-10T10:22:07Z",
    "title_canon_sha256": "380badf449473aa37244ced132a9d3f079850baee837f13acb30c18548921759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2305",
    "kind": "arxiv",
    "version": 3
  }
}