Pith Number

pith:T7T5EXEE

pith:2010:T7T5EXEEKVUGNV3UJGA6FQTSFJ

not attested not anchored not stored refs pending

On lifting perfect codes

Josep Rif\`a, Victor Zinoviev

arxiv:1002.0295 v1 · 2010-02-01 · cs.IT · cs.DM · 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{T7T5EXEEKVUGNV3UJGA6FQTSFJ}

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	2026-05-18T01:29:30.097376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe7d25c84556866d7744981e2c2722a73e5dc19f08e763007851af52c6f11aa

Aliases

arxiv: 1002.0295 · arxiv_version: 1002.0295v1 · doi: 10.48550/arxiv.1002.0295 · pith_short_12: T7T5EXEEKVUG · pith_short_16: T7T5EXEEKVUGNV3U · pith_short_8: T7T5EXEE

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/T7T5EXEEKVUGNV3UJGA6FQTSFJ \
  | 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: 9fe7d25c84556866d7744981e2c2722a73e5dc19f08e763007851af52c6f11aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ceefa2c70120e09502d175baccff7c84f8ca6143b4f15264e8bcb943ad02f5c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-02-01T17:54:36Z",
    "title_canon_sha256": "88d4b6491a1f251571b0b09afc6ca0095192d6c6073e348738978adbcf5664c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0295",
    "kind": "arxiv",
    "version": 1
  }
}