Pith Number

pith:J5BAXLA6

pith:2018:J5BAXLA63QDM7ITKCJLE2KG3KZ

not attested not anchored not stored refs pending

Derived categories for Grothendieck categories of enriched functors

Darren Jones, Grigory Garkusha

arxiv:1803.09451 v2 · 2018-03-26 · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5BAXLA63QDM7ITKCJLE2KG3KZ}

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	2026-05-18T00:03:36.975785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f420bac1edc06cfa26a12564d28db56727ce3bc4e8edc4301f56a61916cd2cd

Aliases

arxiv: 1803.09451 · arxiv_version: 1803.09451v2 · doi: 10.48550/arxiv.1803.09451 · pith_short_12: J5BAXLA63QDM · pith_short_16: J5BAXLA63QDM7ITK · pith_short_8: J5BAXLA6

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/J5BAXLA63QDM7ITKCJLE2KG3KZ \
  | 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: 4f420bac1edc06cfa26a12564d28db56727ce3bc4e8edc4301f56a61916cd2cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e23c44964cf1f447a56c5cc6835a5d693c1a8564d614ce3010b8309cf1494404",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-03-26T07:47:55Z",
    "title_canon_sha256": "7ebae24bc3d11291f3603b9da9337f9245ce19efbd9184a73ab8dfe95ea5bbdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09451",
    "kind": "arxiv",
    "version": 2
  }
}