Pith Number

pith:PQ64HDHN

pith:2017:PQ64HDHN27UM6BMDRUD3AQ5HIP

not attested not anchored not stored refs pending

Torsion Pairs in Recollements of Abelian Categories

Xin Ma, Zhaoyong Huang

arxiv:1712.04710 v2 · 2017-12-13 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQ64HDHN27UM6BMDRUD3AQ5HIP}

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	2026-05-18T00:27:17.358639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3dc38cedd7e8cf05838d07b043a743c4835ed5f6c86c801f4f5d1ce2655251

Aliases

arxiv: 1712.04710 · arxiv_version: 1712.04710v2 · doi: 10.48550/arxiv.1712.04710 · pith_short_12: PQ64HDHN27UM · pith_short_16: PQ64HDHN27UM6BMD · pith_short_8: PQ64HDHN

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/PQ64HDHN27UM6BMDRUD3AQ5HIP \
  | 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: 7c3dc38cedd7e8cf05838d07b043a743c4835ed5f6c86c801f4f5d1ce2655251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ebb1dff950fa8bbd2d179289b045efeb371849477ea19c34f7a669fc40fbc4",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-13T11:20:58Z",
    "title_canon_sha256": "a92f084a0737dd65e5de12ffb7f57161e26920aa43d3cb54a4b3dc2af0b4cd63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04710",
    "kind": "arxiv",
    "version": 2
  }
}