Pith Number

pith:TRTOR4LZ

pith:2012:TRTOR4LZ53I4QTPRR22S3IMYRT

not attested not anchored not stored refs pending

MacWilliams-type equivalence relations

Dong Yeol Oh, Hyun Kwang Kim, Jong Yoon Hyun, Soohak Choi

arxiv:1205.1090 v2 · 2012-05-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRTOR4LZ53I4QTPRR22S3IMYRT}

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	2026-05-18T03:37:28.968021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c66e8f179eed1c84df18eb52da1988cf5eec0e3a91ab8f6b67619e3483a3f1e

Aliases

arxiv: 1205.1090 · arxiv_version: 1205.1090v2 · doi: 10.48550/arxiv.1205.1090 · pith_short_12: TRTOR4LZ53I4 · pith_short_16: TRTOR4LZ53I4QTPR · pith_short_8: TRTOR4LZ

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/TRTOR4LZ53I4QTPRR22S3IMYRT \
  | 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: 9c66e8f179eed1c84df18eb52da1988cf5eec0e3a91ab8f6b67619e3483a3f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0571160b92f339c6907e12e244e30d178cbeae712937fdb28cc0630a0dc6c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-05T01:52:11Z",
    "title_canon_sha256": "a9b4ad13ed61d29ebc34d5e2d3aa66bccf6bc7ac3a85a717370c835f29fbd8eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1090",
    "kind": "arxiv",
    "version": 2
  }
}