Pith Number

pith:KJUZB4QY

pith:2017:KJUZB4QY2TGD55DWQTZOZTHGPD

not attested not anchored not stored refs pending

Communication versus Computation: Duality for multiple access channels and source coding

Jingge Zhu, Michael Gastpar, Sung Hoon Lim

arxiv:1707.08621 v1 · 2017-07-26 · 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{KJUZB4QY2TGD55DWQTZOZTHGPD}

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	2026-05-18T00:39:23.561954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526990f218d4cc3ef47684f2eccce678c9802110707767b37acf6b41aa7359a7

Aliases

arxiv: 1707.08621 · arxiv_version: 1707.08621v1 · doi: 10.48550/arxiv.1707.08621 · pith_short_12: KJUZB4QY2TGD · pith_short_16: KJUZB4QY2TGD55DW · pith_short_8: KJUZB4QY

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/KJUZB4QY2TGD55DWQTZOZTHGPD \
  | 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: 526990f218d4cc3ef47684f2eccce678c9802110707767b37acf6b41aa7359a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbc55055b7bed14dc6a6fecc367214f4ea7aa809f89bec4b2c5eb1cb54ceb16",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-26T19:38:41Z",
    "title_canon_sha256": "56a59d8d38c8e0d9dbc7ab02c82b8e2019849ddc284fc395e04a92a4b5a93d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08621",
    "kind": "arxiv",
    "version": 1
  }
}