Pith Number

pith:HE4WLZA3

pith:2016:HE4WLZA3DPEACA2HUBXPS6APF7

not attested not anchored not stored refs pending

On Vector Linear Solvability of Multicast Networks

Keping Long, Qifu Tyler Sun, Xiaolong Yang, Xunrui Yin, Zongpeng Li

arxiv:1605.02635 v1 · 2016-05-09 · 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{HE4WLZA3DPEACA2HUBXPS6APF7}

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	2026-05-18T00:27:57.700163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

393965e41b1bc8010347a06ef9780f2fc925a1fc4ea826b2a91ca32adf927533

Aliases

arxiv: 1605.02635 · arxiv_version: 1605.02635v1 · doi: 10.48550/arxiv.1605.02635 · pith_short_12: HE4WLZA3DPEA · pith_short_16: HE4WLZA3DPEACA2H · pith_short_8: HE4WLZA3

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/HE4WLZA3DPEACA2HUBXPS6APF7 \
  | 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: 393965e41b1bc8010347a06ef9780f2fc925a1fc4ea826b2a91ca32adf927533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14bce0f96920383d1402d91bf049605ac98bab6fde433d253cb35eae3ec4f8d9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-09T15:53:23Z",
    "title_canon_sha256": "3ceec1f36babc114622ea14e6b7b50d8d8c50f3bedc0e0a709055c65af012916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02635",
    "kind": "arxiv",
    "version": 1
  }
}