Pith Number

pith:TXS2YWQ7

pith:2016:TXS2YWQ7BZ6ZG5CDGX7PXP3GA5

not attested not anchored not stored refs pending

Two-weight and three-weight codes from trace codes over $\mathbb{F}_p+u\mathbb{F}_p+v\mathbb{F}_p+uv\mathbb{F}_p$

Minjia Shi, Patrick Sol\'e, Yan Liu

arxiv:1612.00118 v1 · 2016-12-01 · 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{TXS2YWQ7BZ6ZG5CDGX7PXP3GA5}

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	2026-05-18T00:56:06.799259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de5ac5a1f0e7d93744335fefbbf660772f47758f609bb43a13597a47b07ffc9

Aliases

arxiv: 1612.00118 · arxiv_version: 1612.00118v1 · doi: 10.48550/arxiv.1612.00118 · pith_short_12: TXS2YWQ7BZ6Z · pith_short_16: TXS2YWQ7BZ6ZG5CD · pith_short_8: TXS2YWQ7

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/TXS2YWQ7BZ6ZG5CDGX7PXP3GA5 \
  | 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: 9de5ac5a1f0e7d93744335fefbbf660772f47758f609bb43a13597a47b07ffc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "501b8cf30718cf0bfd21cedb975146b674ee7c2a38f3393e96738563ca05e3e2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-01T02:47:07Z",
    "title_canon_sha256": "7963026555ef668625cf0a4857cab7ad9ab25e5dd5c5860d9fd6a2bbd34f2ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00118",
    "kind": "arxiv",
    "version": 1
  }
}