Pith Number

pith:I5T43QDA

pith:2010:I5T43QDA5K3CPGLBITPKG5LLFR

not attested not anchored not stored refs pending

Checkable Codes from Group Rings

Hongwei Liu, San Ling, Somphong Jitman, Xiaoli Xie

arxiv:1012.5498 v1 · 2010-12-26 · cs.IT · math.AC · 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{I5T43QDA5K3CPGLBITPKG5LLFR}

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	2026-05-18T04:32:23.250573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4767cdc060eab627996144dea3756b2c63f7d79588211ba2862235690eb2a14e

Aliases

arxiv: 1012.5498 · arxiv_version: 1012.5498v1 · doi: 10.48550/arxiv.1012.5498 · pith_short_12: I5T43QDA5K3C · pith_short_16: I5T43QDA5K3CPGLB · pith_short_8: I5T43QDA

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/I5T43QDA5K3CPGLBITPKG5LLFR \
  | 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: 4767cdc060eab627996144dea3756b2c63f7d79588211ba2862235690eb2a14e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b557765590619e6cdf85fde728bfb9522c82bbf625f3e4563cafae2891d0bce",
    "cross_cats_sorted": [
      "math.AC",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-26T08:34:06Z",
    "title_canon_sha256": "df9b1653d4d94212cb0189ec95da1c79fa678a656d3bffee14c69cc3ddca2fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5498",
    "kind": "arxiv",
    "version": 1
  }
}