Pith Number

pith:RIATF7WT

pith:2012:RIATF7WTOJF7BHJ6KDXUFI3TX6

not attested not anchored not stored refs pending

Shannon's sampling theorem in a distributional setting

Amol Sasane

arxiv:1208.6493 v2 · 2012-08-31 · math.FA · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIATF7WTOJF7BHJ6KDXUFI3TX6}

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	2026-05-18T03:27:13.872807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0132fed3724bf09d3e50ef42a373bfab5cf162d401a5e117b30b1ee26def4a

Aliases

arxiv: 1208.6493 · arxiv_version: 1208.6493v2 · doi: 10.48550/arxiv.1208.6493 · pith_short_12: RIATF7WTOJF7 · pith_short_16: RIATF7WTOJF7BHJ6 · pith_short_8: RIATF7WT

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/RIATF7WTOJF7BHJ6KDXUFI3TX6 \
  | 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: 8a0132fed3724bf09d3e50ef42a373bfab5cf162d401a5e117b30b1ee26def4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d5131ca189db57d5095818b920ae9ac66198147ed2c53684c48f3a0c49ea8d9",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-31T13:36:37Z",
    "title_canon_sha256": "2e1ac40cc8dc287b5ba00a79266c983379c9843db628ed127f800d9fe700ec71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6493",
    "kind": "arxiv",
    "version": 2
  }
}