Pith Number

pith:N3EB45YA

pith:2014:N3EB45YAI2O3MYGAJALOLJHWII

not attested not anchored not stored refs pending

Graph Theory versus Minimum Rank for Index Coding

Alexandros G. Dimakis, Karthikeyan Shanmugam, Michael Langberg

arxiv:1402.3898 v1 · 2014-02-17 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3EB45YAI2O3MYGAJALOLJHWII}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:58:55.259642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec81e7700469db660c04816e5a4f64229dd671d82f8728067cebc8a1b498ab8

Aliases

arxiv: 1402.3898 · arxiv_version: 1402.3898v1 · doi: 10.48550/arxiv.1402.3898 · pith_short_12: N3EB45YAI2O3 · pith_short_16: N3EB45YAI2O3MYGA · pith_short_8: N3EB45YA

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/N3EB45YAI2O3MYGAJALOLJHWII \
  | 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: 6ec81e7700469db660c04816e5a4f64229dd671d82f8728067cebc8a1b498ab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dca11be31f0ed6077c52763315f87bfe1b509b86e73f02f5c0cf2cd578f705a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-02-17T05:46:43Z",
    "title_canon_sha256": "4a0ae9c8b3ce763b5b6b4e4ef9b799ca802be6249627b098cb9c1ed205630f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3898",
    "kind": "arxiv",
    "version": 1
  }
}