Pith Number

pith:X7VHCBHH

pith:2025:X7VHCBHHWEUZRCW3UOBYYYKI4B

not attested not anchored not stored refs pending

The minimum distance of the antiprimitive BCH code with designed distance 3

Haojie Xu, Wei Lu, Xia Wu, Xiwang Cao

arxiv:2505.04315 v1 · 2025-05-07 · cs.IT · 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{X7VHCBHHWEUZRCW3UOBYYYKI4B}

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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.

Cited by

1 paper in Pith

On the Minimum Distances of Some Families of BCH Codes

Receipt and verification

First computed	2026-07-05T10:59:39.930464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfea7104e7b129988adba3838c6148e04dbe08d1361217ff38029b5ae7d2787f

Aliases

arxiv: 2505.04315 · arxiv_version: 2505.04315v1 · doi: 10.48550/arxiv.2505.04315 · pith_short_12: X7VHCBHHWEUZ · pith_short_16: X7VHCBHHWEUZRCW3 · pith_short_8: X7VHCBHH

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/X7VHCBHHWEUZRCW3UOBYYYKI4B \
  | 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: bfea7104e7b129988adba3838c6148e04dbe08d1361217ff38029b5ae7d2787f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d4b8423e7f913e3f2ba50b0985f564623a71732e726bde4a7a8fd8ab081cb47",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-05-07T11:02:46Z",
    "title_canon_sha256": "af43852e99a3d60ba88f68ee4a3b370f3eae720aef705ff708586d9dcaf4c9c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04315",
    "kind": "arxiv",
    "version": 1
  }
}