pith. sign in
Pith Number

pith:F4KRRBVV

pith:2014:F4KRRBVVZT23VQKZBSW27GDKZN
not attested not anchored not stored refs pending

Lower Bounds and Approximations for the Information Rate of the ISI Channel

Shlomo Shamai, Yair Carmon

arxiv:1401.1480 v1 · 2014-01-07 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F4KRRBVVZT23VQKZBSW27GDKZN}

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 2026-05-18T03:03:08.251507Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f151886b5ccf5bac1590cadaf986acb4b59fe5080b65732a8de1d5763fd273e

Aliases

arxiv: 1401.1480 · arxiv_version: 1401.1480v1 · doi: 10.48550/arxiv.1401.1480 · pith_short_12: F4KRRBVVZT23 · pith_short_16: F4KRRBVVZT23VQKZ · pith_short_8: F4KRRBVV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F4KRRBVVZT23VQKZBSW27GDKZN \
  | 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: 2f151886b5ccf5bac1590cadaf986acb4b59fe5080b65732a8de1d5763fd273e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3b394078a1cb6b9d4c26fe8a8c03f446d08e8ca52e0cd1541d8beb53a8ccb9ee",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-01-07T19:15:17Z",
    "title_canon_sha256": "d60e4b59f9ff20186562d339942a727d849ab6ebb56d6ac8eb4437c809b55991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1480",
    "kind": "arxiv",
    "version": 1
  }
}