Pith Number

pith:TNII7NDC

pith:2011:TNII7NDCOP2WTYPJNYNYZEMOS2

not attested not anchored not stored refs pending

Shannon Meets Nyquist: Capacity of Sampled Gaussian Channels

Andrea J. Goldsmith, Yonina C. Eldar, Yuxin Chen

arxiv:1109.5415 v3 · 2011-09-25 · 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{TNII7NDCOP2WTYPJNYNYZEMOS2}

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	2026-05-18T02:21:36.295089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b508fb46273f569e1e96e1b8c918e96a199bdb4f7093be8f9170165e6cb567c

Aliases

arxiv: 1109.5415 · arxiv_version: 1109.5415v3 · doi: 10.48550/arxiv.1109.5415 · pith_short_12: TNII7NDCOP2W · pith_short_16: TNII7NDCOP2WTYPJ · pith_short_8: TNII7NDC

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/TNII7NDCOP2WTYPJNYNYZEMOS2 \
  | 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: 9b508fb46273f569e1e96e1b8c918e96a199bdb4f7093be8f9170165e6cb567c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d9f3b74980bbb281bea1f3b5117b93ed37907c3b5d63fc0fc999761ef16cbe",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-25T23:22:47Z",
    "title_canon_sha256": "a173771089f2cb718fe01f40d6799d74c275069aec308be50e0eb1857ea3cdf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5415",
    "kind": "arxiv",
    "version": 3
  }
}