Pith Number

pith:T6TPMDY2

pith:2011:T6TPMDY2OLNMUP7JQHR6HMJ7EZ

not attested not anchored not stored refs pending

Recollements and Hochschild theory

Yang Han

arxiv:1101.5697 v5 · 2011-01-29 · math.RA · math.KT · 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{T6TPMDY2OLNMUP7JQHR6HMJ7EZ}

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	2026-05-18T03:14:28.322359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fa6f60f1a72daca3fe981e3e3b13f2647c3d20d324f21dbbea2ff66429d0c49

Aliases

arxiv: 1101.5697 · arxiv_version: 1101.5697v5 · doi: 10.48550/arxiv.1101.5697 · pith_short_12: T6TPMDY2OLNM · pith_short_16: T6TPMDY2OLNMUP7J · pith_short_8: T6TPMDY2

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/T6TPMDY2OLNMUP7JQHR6HMJ7EZ \
  | 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: 9fa6f60f1a72daca3fe981e3e3b13f2647c3d20d324f21dbbea2ff66429d0c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80d528d28568c0046d64fef703ed3c32daac8135d208c3f5211fbf3d4a781f49",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-29T14:39:00Z",
    "title_canon_sha256": "69c043e9d03ad97d2fdade705ff0def5c71e40f373ad28145cb3b8678b71ecea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5697",
    "kind": "arxiv",
    "version": 5
  }
}