Pith Number

pith:7WP3UIGC

pith:2013:7WP3UIGCWAJPPKUV2H6Y4Z4TTQ

not attested not anchored not stored refs pending

Linear Network Coding, Linear Index Coding and Representable Discrete Polymatroids

B. Sundar Rajan, Vijayvaradharaj T. Muralidharan

arxiv:1306.1157 v3 · 2013-06-05 · 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{7WP3UIGCWAJPPKUV2H6Y4Z4TTQ}

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	2026-05-18T01:18:53.059085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9fba20c2b012f7aa95d1fd8e67939c058d04ec0a9aa2c181f3dc082e74a202

Aliases

arxiv: 1306.1157 · arxiv_version: 1306.1157v3 · doi: 10.48550/arxiv.1306.1157 · pith_short_12: 7WP3UIGCWAJP · pith_short_16: 7WP3UIGCWAJPPKUV · pith_short_8: 7WP3UIGC

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/7WP3UIGCWAJPPKUV2H6Y4Z4TTQ \
  | 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: fd9fba20c2b012f7aa95d1fd8e67939c058d04ec0a9aa2c181f3dc082e74a202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5971b2ac242cff2f3e36691c4e9ff747b2c05c893b9e8c4c6794ebacf7e69e5f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-06-05T15:52:28Z",
    "title_canon_sha256": "63e168a7e2c8b37ff3f036e53c6faaf7efc3d6f5d56ca5bcbc4b4d1b12921bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1157",
    "kind": "arxiv",
    "version": 3
  }
}