Pith Number

pith:ME64PQEB

pith:2026:ME64PQEB4DAJS2ZDRJ3ICY37VJ

not attested not anchored not stored refs pending

Linear network codes for vector-linear network function computation over three-layer networks

Gennian Ge, Min Xu

arxiv:2608.01566 v1 · 2026-08-03 · 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{ME64PQEB4DAJS2ZDRJ3ICY37VJ}

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	2026-08-04T02:06:00.373699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

613dc7c081e0c0996b238a7681637faa6b1c7a88534198e8bb49d7f004b641e7

Aliases

arxiv: 2608.01566 · arxiv_version: 2608.01566v1 · doi: 10.48550/arxiv.2608.01566 · pith_short_12: ME64PQEB4DAJ · pith_short_16: ME64PQEB4DAJS2ZD · pith_short_8: ME64PQEB

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/ME64PQEB4DAJS2ZDRJ3ICY37VJ \
  | 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: 613dc7c081e0c0996b238a7681637faa6b1c7a88534198e8bb49d7f004b641e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3193a5988cff8bf491bbf841306ff350307dcf282592aee82b49e8768b35017a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-08-03T00:54:23Z",
    "title_canon_sha256": "f545af8a3f315ede1b11256fcbc9e1838331b9cfe35dfff63cbb3732fe9a0d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01566",
    "kind": "arxiv",
    "version": 1
  }
}