Pith Number

pith:QP66XSXO

pith:2016:QP66XSXOFJKM55QCF6CQKXNKL3

not attested not anchored not stored refs pending

A note on stable recollements

Clark Barwick, Saul Glasman

arxiv:1607.02064 v1 · 2016-07-07 · math.CT · 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{QP66XSXOFJKM55QCF6CQKXNKL3}

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

2 papers in Pith

An Introduction to Higher Categorical Algebra

Recollements and stratification

Receipt and verification

First computed	2026-05-18T01:11:22.264369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83fdebcaee2a54cef6022f85055daa5ee596f508c2b9b79930226bf3b522a012

Aliases

arxiv: 1607.02064 · arxiv_version: 1607.02064v1 · doi: 10.48550/arxiv.1607.02064 · pith_short_12: QP66XSXOFJKM · pith_short_16: QP66XSXOFJKM55QC · pith_short_8: QP66XSXO

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/QP66XSXOFJKM55QCF6CQKXNKL3 \
  | 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: 83fdebcaee2a54cef6022f85055daa5ee596f508c2b9b79930226bf3b522a012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e263a3925b9931d756aebfa39d9526b8793efacc16d705d6a489dc7d7dbea76",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-07-07T16:05:01Z",
    "title_canon_sha256": "6d1f751654b65b744aadb58445e185c8a04911ee8abfbcbc5827b2dc9d327aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02064",
    "kind": "arxiv",
    "version": 1
  }
}