Pith Number

pith:FAE5V7KF

pith:2025:FAE5V7KFVN4EDBA4BNDLJXLHHH

not attested not anchored not stored refs pending

$n$-cotorsion pairs in a recollement of extriangulated categories

Panyue Zhou, Xin Ma

arxiv:2508.20331 v1 · 2025-08-28 · 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{FAE5V7KFVN4EDBA4BNDLJXLHHH}

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	2026-07-05T12:00:34.475558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2809dafd45ab7841841c0b46b4dd6739f8487a0004e0817ef352a6d2403aaa59

Aliases

arxiv: 2508.20331 · arxiv_version: 2508.20331v1 · doi: 10.48550/arxiv.2508.20331 · pith_short_12: FAE5V7KFVN4E · pith_short_16: FAE5V7KFVN4EDBA4 · pith_short_8: FAE5V7KF

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/FAE5V7KFVN4EDBA4BNDLJXLHHH \
  | 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: 2809dafd45ab7841841c0b46b4dd6739f8487a0004e0817ef352a6d2403aaa59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1908b7b1a40783e50508a227e55fe5ef19e237804deeb187c6bdd6e53f07db44",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-28T00:17:46Z",
    "title_canon_sha256": "a106153ea4eaec08f73e9d24b621f12f9673ca55e5880f26abdbceb9b3cf0ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20331",
    "kind": "arxiv",
    "version": 1
  }
}