Pith Number

pith:YTV6YVZX

pith:2016:YTV6YVZXDEAZ6WEBPHHCO64OSV

not attested not anchored not stored refs pending

Explicit Polyhedral Bounds on Network Coding Rate Regions via Entropy Function Region: Algorithms, Symmetry, and Computation

Jayant Apte, John MacLaren Walsh

arxiv:1607.06833 v2 · 2016-07-22 · 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{YTV6YVZXDEAZ6WEBPHHCO64OSV}

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	2026-05-18T00:40:46.701691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ebec573719019f588179ce277b8e956527ae8e007677025f27b8c30dbd811d

Aliases

arxiv: 1607.06833 · arxiv_version: 1607.06833v2 · doi: 10.48550/arxiv.1607.06833 · pith_short_12: YTV6YVZXDEAZ · pith_short_16: YTV6YVZXDEAZ6WEB · pith_short_8: YTV6YVZX

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/YTV6YVZXDEAZ6WEBPHHCO64OSV \
  | 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: c4ebec573719019f588179ce277b8e956527ae8e007677025f27b8c30dbd811d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80d3109636a047db8379752c83f93009bac72ea9595ea956f2347e61b30118f6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-22T20:26:58Z",
    "title_canon_sha256": "09352dbfe1952d8bdfd37b7f2284d58a1b17043c620a9d014037a29c3900521c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06833",
    "kind": "arxiv",
    "version": 2
  }
}