Pith Number

pith:HRZ36C6H

pith:2012:HRZ36C6H3P4UYGWDUK53L4OSCO

not attested not anchored not stored refs pending

Optimum Commutative Group Codes

Cristiano Torezzan, Jo\~ao E. Strapasson, Rogerio M. Siqueira, Sueli I. R. Costa

arxiv:1205.4067 v2 · 2012-05-18 · cs.IT · math.GR · 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{HRZ36C6H3P4UYGWDUK53L4OSCO}

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	2026-05-18T03:30:02.807180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c73bf0bc7dbf94c1ac3a2bbb5f1d213b65dfd038e7bbda2c1fb9bd7ae73f7f4

Aliases

arxiv: 1205.4067 · arxiv_version: 1205.4067v2 · doi: 10.48550/arxiv.1205.4067 · pith_short_12: HRZ36C6H3P4U · pith_short_16: HRZ36C6H3P4UYGWD · pith_short_8: HRZ36C6H

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/HRZ36C6H3P4UYGWDUK53L4OSCO \
  | 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: 3c73bf0bc7dbf94c1ac3a2bbb5f1d213b65dfd038e7bbda2c1fb9bd7ae73f7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f30bd3fd5efe83286605b9a2b927a33e35f499806cf7f1267209209e9a1b858",
    "cross_cats_sorted": [
      "math.GR",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-05-18T01:14:44Z",
    "title_canon_sha256": "3870e6da819fbfc8f6788da1b3df4186ced87d9b26a174dc13264d47585bf651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4067",
    "kind": "arxiv",
    "version": 2
  }
}