Pith Number

pith:PCQQRAAC

pith:2016:PCQQRAACHFA2DQV4VUN7MBFJDE

not attested not anchored not stored refs pending

Generalized Lexicographic Products and the Index Coding Capacity

Fatemeh Arbabjolfaei, Young-Han Kim

arxiv:1608.03689 v2 · 2016-08-12 · 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{PCQQRAACHFA2DQV4VUN7MBFJDE}

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	2026-05-18T00:04:32.763922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a10880023941a1c2bcad1bf604a91937f7dcb22168c5d96ad7d5b66b541399

Aliases

arxiv: 1608.03689 · arxiv_version: 1608.03689v2 · doi: 10.48550/arxiv.1608.03689 · pith_short_12: PCQQRAACHFA2 · pith_short_16: PCQQRAACHFA2DQV4 · pith_short_8: PCQQRAAC

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/PCQQRAACHFA2DQV4VUN7MBFJDE \
  | 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: 78a10880023941a1c2bcad1bf604a91937f7dcb22168c5d96ad7d5b66b541399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83ce48953c9a56fbcb8ea5fdc1dcb39a4dab25850507215fa77b4a4b8c14a3df",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-12T06:45:31Z",
    "title_canon_sha256": "6152f4cab861552364fd24d4732d08dcab5e1f7506a91aca03b52f66ff11e959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03689",
    "kind": "arxiv",
    "version": 2
  }
}