Pith Number

pith:BHAKEKE3

pith:2015:BHAKEKE3GF56UMDNFTHSYGBT2B

not attested not anchored not stored refs pending

The prime spectra of relative stable module categories

Alexandru Chirvasitu, Greg Stevenson, Shawn Baland

arxiv:1511.03164 v4 · 2015-11-10 · 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{BHAKEKE3GF56UMDNFTHSYGBT2B}

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	2026-05-18T00:42:49.053782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c0a2289b317bea306d2ccf2c1833d053b54c133f210d01b0788757dc874987

Aliases

arxiv: 1511.03164 · arxiv_version: 1511.03164v4 · doi: 10.48550/arxiv.1511.03164 · pith_short_12: BHAKEKE3GF56 · pith_short_16: BHAKEKE3GF56UMDN · pith_short_8: BHAKEKE3

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/BHAKEKE3GF56UMDNFTHSYGBT2B \
  | 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: 09c0a2289b317bea306d2ccf2c1833d053b54c133f210d01b0788757dc874987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40149ff0ac5751559fac4f5b4186824fe99b2e08c0cf2fd8547dafa67e83eee7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-11-10T16:15:26Z",
    "title_canon_sha256": "996740245ab86567fa14d94210b3b3983124162610a288e04cd9d8a5a815d088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03164",
    "kind": "arxiv",
    "version": 4
  }
}