Pith Number

pith:FGGXHV5G

pith:2025:FGGXHV5GY74TJHRIHKNENGTM74

not attested not anchored not stored refs pending

Minimal Linear Codes Violating the Ashikhmin-Barg Condition from Arbitrary Projective Linear Codes

Conghui Xie, Hao Chen, Huimin Lao, Yaqi Chen

arxiv:2505.07130 v2 · 2025-05-11 · 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{FGGXHV5GY74TJHRIHKNENGTM74}

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	2026-07-05T11:04:51.040580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298d73d7a6c7f9349e283a9a469a6cff35c5f66c35498c2276b1ebb99eeb0cc7

Aliases

arxiv: 2505.07130 · arxiv_version: 2505.07130v2 · doi: 10.48550/arxiv.2505.07130 · pith_short_12: FGGXHV5GY74T · pith_short_16: FGGXHV5GY74TJHRI · pith_short_8: FGGXHV5G

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/FGGXHV5GY74TJHRIHKNENGTM74 \
  | 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: 298d73d7a6c7f9349e283a9a469a6cff35c5f66c35498c2276b1ebb99eeb0cc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33316292d1a4aeca84b7350bc2a050ba279a79a2d3299822b5db845a8cf8296c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-05-11T22:02:40Z",
    "title_canon_sha256": "5e477a067ee1befd8c992c4322191c201986d46a62e0b2a6df0644f859c15b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07130",
    "kind": "arxiv",
    "version": 2
  }
}