Pith Number

pith:KCOMMQL2

pith:2016:KCOMMQL2CVZAS2YBLQUCTTGDWN

not attested not anchored not stored refs pending

Two new families of two-weight codes

Minjia Shi, Patrick Sole, Yue Guan

arxiv:1612.00967 v2 · 2016-12-03 · 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{KCOMMQL2CVZAS2YBLQUCTTGDWN}

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	2026-05-18T00:35:09.362833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509cc6417a1572096b015c2829ccc3b34ffe02ec8373491ee74f25412957b481

Aliases

arxiv: 1612.00967 · arxiv_version: 1612.00967v2 · doi: 10.48550/arxiv.1612.00967 · pith_short_12: KCOMMQL2CVZA · pith_short_16: KCOMMQL2CVZAS2YB · pith_short_8: KCOMMQL2

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/KCOMMQL2CVZAS2YBLQUCTTGDWN \
  | 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: 509cc6417a1572096b015c2829ccc3b34ffe02ec8373491ee74f25412957b481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b3ffee99065650fd0cfa27197fb8e130dc762803153db89bcd2cb2b30c8bd48",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-03T13:27:27Z",
    "title_canon_sha256": "61345bff3b3c3da6c3df7130d4dd460c50f76d3c60299ca287dc0e6b36082747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00967",
    "kind": "arxiv",
    "version": 2
  }
}