Pith Number

pith:FK7GCAF2

pith:2013:FK7GCAF2RJ2BHGKPK3TRR2MHND

not attested not anchored not stored refs pending

Duality Codes and the Integrality Gap Bound for Index Coding

Hao Yu, Michael J. Neely

arxiv:1307.2295 v2 · 2013-07-08 · 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{FK7GCAF2RJ2BHGKPK3TRR2MHND}

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	2026-05-18T03:15:20.437105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2abe6100ba8a7413994f56e718e98768e9e5d058973e016466cd71e966093bee

Aliases

arxiv: 1307.2295 · arxiv_version: 1307.2295v2 · doi: 10.48550/arxiv.1307.2295 · pith_short_12: FK7GCAF2RJ2B · pith_short_16: FK7GCAF2RJ2BHGKP · pith_short_8: FK7GCAF2

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/FK7GCAF2RJ2BHGKPK3TRR2MHND \
  | 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: 2abe6100ba8a7413994f56e718e98768e9e5d058973e016466cd71e966093bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee432d2e45835b97e725ddb0214cf349a2becf746d618b2b7380028f750c5ff",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-08T22:55:52Z",
    "title_canon_sha256": "bb344f5563da91e8e8b81a586bba0ff95b04370c76ff0074ae62f8d0b98a03e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2295",
    "kind": "arxiv",
    "version": 2
  }
}