Pith Number

pith:Q3TMVYRA

pith:2012:Q3TMVYRATJZNS7TQZLYNO2VGW5

not attested not anchored not stored refs pending

Improved Semidefinite Programming Bound on Sizes of Codes

Hyun Kwang Kim, Phan Thanh Toan

arxiv:1212.3467 v1 · 2012-12-14 · cs.IT · math.CO · 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{Q3TMVYRATJZNS7TQZLYNO2VGW5}

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	2026-05-18T03:38:24.555916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86e6cae2209a72d97e70caf0d76aa6b764a7b72c9238e78e9f16c38c857df8a3

Aliases

arxiv: 1212.3467 · arxiv_version: 1212.3467v1 · doi: 10.48550/arxiv.1212.3467 · pith_short_12: Q3TMVYRATJZN · pith_short_16: Q3TMVYRATJZNS7TQ · pith_short_8: Q3TMVYRA

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/Q3TMVYRATJZNS7TQZLYNO2VGW5 \
  | 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: 86e6cae2209a72d97e70caf0d76aa6b764a7b72c9238e78e9f16c38c857df8a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29e7c931b2b386d18dbfe812d99b9474d94d6974e67a75cc9015f0a0afcfd2e",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-14T13:27:55Z",
    "title_canon_sha256": "e448336b1966e247b244d44a4e3dd51eb3e44a1cdb33723a53057977e8ff785e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3467",
    "kind": "arxiv",
    "version": 1
  }
}