Pith Number

pith:WSMKRG2T

pith:2012:WSMKRG2TOJW7AXYPRCQP7JKAP6

not attested not anchored not stored refs pending

Cotorsion pairs in the cluster category of a marked surface

Bin Zhu, Jie Zhang, Yu Zhou

arxiv:1205.1504 v1 · 2012-05-07 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSMKRG2TOJW7AXYPRCQP7JKAP6}

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	2026-05-18T03:56:10.052942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b498a89b53726df05f0f88a0ffa5407fb15fbe22e0084531f5cd4627fc4c9fc5

Aliases

arxiv: 1205.1504 · arxiv_version: 1205.1504v1 · doi: 10.48550/arxiv.1205.1504 · pith_short_12: WSMKRG2TOJW7 · pith_short_16: WSMKRG2TOJW7AXYP · pith_short_8: WSMKRG2T

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/WSMKRG2TOJW7AXYPRCQP7JKAP6 \
  | 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: b498a89b53726df05f0f88a0ffa5407fb15fbe22e0084531f5cd4627fc4c9fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008b4478deb1b02b05e2e31c6f5d214cb9a963bbf5067aa3e5aea9da264db840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-05-07T07:22:45Z",
    "title_canon_sha256": "71a8241f8d1535a878e039b88d011bba644e04b714a171d2d83f23f519c97d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1504",
    "kind": "arxiv",
    "version": 1
  }
}