Pith. sign in
Pith Number

pith:5PMKCCTA

pith:2019:5PMKCCTA6ECT5YTJYOXHA6GH6A
not attested not anchored not stored refs pending

Three notions of dimension for triangulated categories

Alexey Elagin, Valery A. Lunts

arxiv:1901.09461 v2 · 2019-01-27 · math.AG · math.CT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5PMKCCTA6ECT5YTJYOXHA6GH6A}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T00:54:22.251093Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ebd8a10a60f1053ee269c3ae7078c7f02fa5df428148fd94a3443f3b1325f18c

Aliases

arxiv: 1901.09461 · arxiv_version: 1901.09461v2 · doi: 10.48550/arxiv.1901.09461 · pith_short_12: 5PMKCCTA6ECT · pith_short_16: 5PMKCCTA6ECT5YTJ · pith_short_8: 5PMKCCTA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5PMKCCTA6ECT5YTJYOXHA6GH6A \
  | 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: ebd8a10a60f1053ee269c3ae7078c7f02fa5df428148fd94a3443f3b1325f18c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0831538127ba2311dac038de0932ac9f2bcb9a107bcf79948bd1184fff0ee51f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-27T23:22:21Z",
    "title_canon_sha256": "1ace3b90d4b5e8ac44e0283779a30ce944626cf896c782b6b854516054b7463a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09461",
    "kind": "arxiv",
    "version": 2
  }
}