Pith Number

pith:5GXB27TH

pith:2016:5GXB27THZEV2MYJPQLKRKSU655

not attested not anchored not stored refs pending

The closure of the set of periodic modules over a concealed canonical algebra is regular in codimension one

Grzegorz Bobinski, Grzegorz Zwara

arxiv:1612.09164 v1 · 2016-12-29 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GXB27THZEV2MYJPQLKRKSU655}

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	2026-05-18T00:53:46.327799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ae1d7e67c92ba6612f82d5154a9eef66ff1cf26ed498bb10c3eeef65398427

Aliases

arxiv: 1612.09164 · arxiv_version: 1612.09164v1 · doi: 10.48550/arxiv.1612.09164 · pith_short_12: 5GXB27THZEV2 · pith_short_16: 5GXB27THZEV2MYJP · pith_short_8: 5GXB27TH

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/5GXB27THZEV2MYJPQLKRKSU655 \
  | 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: e9ae1d7e67c92ba6612f82d5154a9eef66ff1cf26ed498bb10c3eeef65398427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7e2fcd7fac581662852b4f8868584749af1a5f7b956f19b082fb16aebb93e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-29T14:59:20Z",
    "title_canon_sha256": "87f1e5edb27625983bc0d7a2f6bed347abdd0d846f27a760d1715dc531164d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09164",
    "kind": "arxiv",
    "version": 1
  }
}