Pith Number

pith:WCZHMIZV

pith:2020:WCZHMIZVSGNBYTIGW5E7XBUIUY

not attested not anchored not stored refs pending

Achievable Rate with Antenna Size Constraint: Shannon meets Chu and Bode

Amine Mezghani, Faouzi Bellili, Mohamed Akrout, Robert W. Heath, Volodymyr Shyianov

arxiv:2011.05529 v2 · 2020-11-11 · 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{WCZHMIZVSGNBYTIGW5E7XBUIUY}

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	2026-07-05T02:58:23.273260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b2762335919a1c4d06b749fb8688a62f8300610628dae8b1f205ce7dbfc07b

Aliases

arxiv: 2011.05529 · arxiv_version: 2011.05529v2 · doi: 10.48550/arxiv.2011.05529 · pith_short_12: WCZHMIZVSGNB · pith_short_16: WCZHMIZVSGNBYTIG · pith_short_8: WCZHMIZV

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/WCZHMIZVSGNBYTIGW5E7XBUIUY \
  | 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: b0b2762335919a1c4d06b749fb8688a62f8300610628dae8b1f205ce7dbfc07b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e021e59436e671d90e67967414e641a46f850fd2848dd5194bb72a3b5f4e8d22",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-11-11T03:27:09Z",
    "title_canon_sha256": "cab3e8bd64c84cdb4074c7ced9f898d7d6ad2dc26cb2aea621097b8c2a511929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.05529",
    "kind": "arxiv",
    "version": 2
  }
}