Pith Number

pith:PMRPXCQJ

pith:2011:PMRPXCQJOMOL3MULS42VPZ2LH4

not attested not anchored not stored refs pending

The center of the category of bimodules and descent data for non-commutative rings

A. L. Agore, G. Militaru, S. Caenepeel

arxiv:1108.3176 v3 · 2011-08-16 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMRPXCQJOMOL3MULS42VPZ2LH4}

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	2026-05-18T02:58:30.917970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b22fb8a09731cbdb28b973557e74b3f219fbaa6d144efe577faa690cb15b8dc

Aliases

arxiv: 1108.3176 · arxiv_version: 1108.3176v3 · doi: 10.48550/arxiv.1108.3176 · pith_short_12: PMRPXCQJOMOL · pith_short_16: PMRPXCQJOMOL3MUL · pith_short_8: PMRPXCQJ

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/PMRPXCQJOMOL3MULS42VPZ2LH4 \
  | 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: 7b22fb8a09731cbdb28b973557e74b3f219fbaa6d144efe577faa690cb15b8dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47ec6de3adf11213ebebbf34c5ff9f44c24613253fee045453c9994fc864c746",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-08-16T08:08:59Z",
    "title_canon_sha256": "5f538aba2795192671f07472db51914894e18cd772cce7df953c608929ea7048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3176",
    "kind": "arxiv",
    "version": 3
  }
}