Pith Number

pith:PPPCP6QQ

pith:2018:PPPCP6QQYF25DZYZ4WCB4H75UZ

not attested not anchored not stored refs pending

To Relay or not to Relay: Open Distance and Optimal Deployment for Linear Underwater Acoustic Networks

Hongkuan Zhou, Tao Jiang, Yu Zhang, Yuzhou Li

arxiv:1801.03641 v1 · 2018-01-11 · 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{PPPCP6QQYF25DZYZ4WCB4H75UZ}

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	2026-05-18T00:19:16.517692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bde27fa10c175d1e719e5841e1ffda649b1efaafad5878d788ca03b7df6812d

Aliases

arxiv: 1801.03641 · arxiv_version: 1801.03641v1 · doi: 10.48550/arxiv.1801.03641 · pith_short_12: PPPCP6QQYF25 · pith_short_16: PPPCP6QQYF25DZYZ · pith_short_8: PPPCP6QQ

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/PPPCP6QQYF25DZYZ4WCB4H75UZ \
  | 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: 7bde27fa10c175d1e719e5841e1ffda649b1efaafad5878d788ca03b7df6812d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e778421352e3257c84c9a1545cbf0a0128d6548b5430430f159b0c2ab6fc9011",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-01-11T06:41:57Z",
    "title_canon_sha256": "5395df12d37050381d84741c99d2007083855a3597a0a19c833d57065b5a77a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03641",
    "kind": "arxiv",
    "version": 1
  }
}