Pith Number

pith:V45IUXDX

pith:2012:V45IUXDX637TCCMIYGUT2Y5FZY

not attested not anchored not stored refs pending

Recollements of derived categories I: Exact contexts

Changchang Xi, Hongxing Chen

arxiv:1203.5168 v3 · 2012-03-23 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V45IUXDX637TCCMIYGUT2Y5FZY}

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

Extension dimensions under singular equivalences and recollements

Receipt and verification

First computed	2026-07-05T02:00:39.808276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af3a8a5c77f6ff310988c1a93d63a5ce1bec128f97f179534d65987619045961

Aliases

arxiv: 1203.5168 · arxiv_version: 1203.5168v3 · doi: 10.48550/arxiv.1203.5168 · pith_short_12: V45IUXDX637T · pith_short_16: V45IUXDX637TCCMI · pith_short_8: V45IUXDX

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/V45IUXDX637TCCMIYGUT2Y5FZY \
  | 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: af3a8a5c77f6ff310988c1a93d63a5ce1bec128f97f179534d65987619045961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb35b66a7dde7f7516b154d0ca07a451f9baa46e52f2d86116ae9ada318ef80",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-23T03:21:54Z",
    "title_canon_sha256": "822c39469aff383c4bf28bd0ad02b810e72b732f99a37049ebf9017208c9b3ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5168",
    "kind": "arxiv",
    "version": 3
  }
}