Pith Number

pith:5VC5XMCZ

pith:2016:5VC5XMCZ4E7BJSEYLEWZIEEKNA

not attested not anchored not stored refs pending

Twisted Centralizer Codes

Adel Alahmadi, Bahattin Yildiz, Cheryl E. Praeger, Patrick Sol\'e, S. P. Glasby

arxiv:1608.04079 v3 · 2016-08-14 · math.CO · cs.IT · math.AC · math.IT

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

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	2026-05-18T00:48:54.298685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed45dbb059e13e14c898592d94108a6815ce896677dbbb22c34d1d2f917d92e5

Aliases

arxiv: 1608.04079 · arxiv_version: 1608.04079v3 · doi: 10.48550/arxiv.1608.04079 · pith_short_12: 5VC5XMCZ4E7B · pith_short_16: 5VC5XMCZ4E7BJSEY · pith_short_8: 5VC5XMCZ

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/5VC5XMCZ4E7BJSEYLEWZIEEKNA \
  | 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: ed45dbb059e13e14c898592d94108a6815ce896677dbbb22c34d1d2f917d92e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb63bd3b17a112555a13e816da73093aff8946e67b0ebef3a136564f3b04173",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AC",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-14T09:26:14Z",
    "title_canon_sha256": "e14ab4bea223decaaf8b445af5944df853995b4df5eadf5d4da21c50e1ccc9c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04079",
    "kind": "arxiv",
    "version": 3
  }
}