Pith Number

pith:NBN77LT5

pith:2013:NBN77LT5HZWPILD3VD2QPXTPXV

not attested not anchored not stored refs pending

Lattice of Ideals of the Polynomial Ring over a Commutative Chain Ring

Xiang-dong Hou

arxiv:1308.0727 v1 · 2013-08-03 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBN77LT5HZWPILD3VD2QPXTPXV}

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	2026-05-18T03:16:48.365913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

685bffae7d3e6cf42c7ba8f507de6fbd7700c93644456b2e1dfe61afd2fc367a

Aliases

arxiv: 1308.0727 · arxiv_version: 1308.0727v1 · doi: 10.48550/arxiv.1308.0727 · pith_short_12: NBN77LT5HZWP · pith_short_16: NBN77LT5HZWPILD3 · pith_short_8: NBN77LT5

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/NBN77LT5HZWPILD3VD2QPXTPXV \
  | 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: 685bffae7d3e6cf42c7ba8f507de6fbd7700c93644456b2e1dfe61afd2fc367a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560622fa4d99e4fa2e89590e2cfe515734f35490aaa6890b508697c236d6c50d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-03T17:26:50Z",
    "title_canon_sha256": "0d0cab3a8231221f8898e16e512f28a48caea125cbf621bb81ae7a11e0eca15e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0727",
    "kind": "arxiv",
    "version": 1
  }
}