pith. sign in
Pith Number

pith:D52SOZJR

pith:2017:D52SOZJR67BSX4YX7Z222SHUTW
not attested not anchored not stored refs pending

Capacity and Achievable Rate Regions for Linear Network Coding over Ring Alphabets

Joseph Connelly, Kenneth Zeger

arxiv:1706.01152 v2 · 2017-06-04 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D52SOZJR67BSX4YX7Z222SHUTW}

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 2026-05-18T00:24:54.412392Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1f75276531f7c32bf317fe75ad48f49d86932a64ac882bf8d239ee569bd3327c

Aliases

arxiv: 1706.01152 · arxiv_version: 1706.01152v2 · doi: 10.48550/arxiv.1706.01152 · pith_short_12: D52SOZJR67BS · pith_short_16: D52SOZJR67BSX4YX · pith_short_8: D52SOZJR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D52SOZJR67BSX4YX7Z222SHUTW \
  | 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: 1f75276531f7c32bf317fe75ad48f49d86932a64ac882bf8d239ee569bd3327c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "39a96eb4a5790a1b87981becf51ad2c116a89021fb10325c54838fdd3eb70d72",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-04T21:40:08Z",
    "title_canon_sha256": "0c114cf4b3345a074b2f5a730839f5a92f87ba7cb6c9a5401890946c31aff9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01152",
    "kind": "arxiv",
    "version": 2
  }
}