Pith Number

pith:LJNNEL2T

pith:2022:LJNNEL2TJ7VHROX3WV2ONDWTBI

not attested not anchored not stored refs pending

Further remarks on derived categories of algebraic stacks

Jack Hall

arxiv:2205.09312 v1 · 2022-05-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJNNEL2TJ7VHROX3WV2ONDWTBI}

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.

Cited by

1 paper in Pith

Localizing subcategories for algebraic stacks

Receipt and verification

First computed	2026-07-05T04:24:43.370670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5ad22f534fea78bafbb574e68ed30a04c580a88905b87a8d805abf3320fd72

Aliases

arxiv: 2205.09312 · arxiv_version: 2205.09312v1 · doi: 10.48550/arxiv.2205.09312 · pith_short_12: LJNNEL2TJ7VH · pith_short_16: LJNNEL2TJ7VHROX3 · pith_short_8: LJNNEL2T

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/LJNNEL2TJ7VHROX3WV2ONDWTBI \
  | 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: 5a5ad22f534fea78bafbb574e68ed30a04c580a88905b87a8d805abf3320fd72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6eac94fda7b47aba704d58675c2d3daabe0d3c0970bf61dcbdbce5101f3b100",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-05-19T04:00:47Z",
    "title_canon_sha256": "53dacc184559d1e807282fb6c95204acf010730b8370f760c933a1a05491cb8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.09312",
    "kind": "arxiv",
    "version": 1
  }
}