Pith Number

pith:B5EMN7C6

pith:2015:B5EMN7C6T2SUTFFLWEUXE2YHM5

not attested not anchored not stored refs pending

Uniqueness of dg enhancements for the derived category of a Grothendieck category

Alberto Canonaco, Paolo Stellari

arxiv:1507.05509 v5 · 2015-07-20 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5EMN7C6T2SUTFFLWEUXE2YHM5}

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	2026-05-17T23:59:04.025259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f48c6fc5e9ea54994abb129726b0767726b6d320f9a5f74258293dc976a3a93

Aliases

arxiv: 1507.05509 · arxiv_version: 1507.05509v5 · doi: 10.48550/arxiv.1507.05509 · pith_short_12: B5EMN7C6T2SU · pith_short_16: B5EMN7C6T2SUTFFL · pith_short_8: B5EMN7C6

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/B5EMN7C6T2SUTFFLWEUXE2YHM5 \
  | 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: 0f48c6fc5e9ea54994abb129726b0767726b6d320f9a5f74258293dc976a3a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82df87fea97e533e894c627c498a3290f48972b8c5d9d6999aa72e61648082bd",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-20T14:27:58Z",
    "title_canon_sha256": "130140e48aca2b7eb69a36f908e35f95e2ecb6ebb58cf6c8036a6597d358cc2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05509",
    "kind": "arxiv",
    "version": 5
  }
}