Pith Number

pith:ZPVLVH6Y

pith:2016:ZPVLVH6Y66VL6DYI73CLZIJA3E

not attested not anchored not stored refs pending

Frobenius pairs in abelian categories: correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts

Marco A. P\'erez, Octavio Mendoza Hernandez, Valente Santiago, V\'ictor Becerril

arxiv:1602.07328 v2 · 2016-02-23 · 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{ZPVLVH6Y66VL6DYI73CLZIJA3E}

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	2026-07-05T04:44:38.209079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbeaba9fd8f7aabf0f08fec4bca120d904dc851ef811d6c38fb3db2d76b17f65

Aliases

arxiv: 1602.07328 · arxiv_version: 1602.07328v2 · doi: 10.48550/arxiv.1602.07328 · pith_short_12: ZPVLVH6Y66VL · pith_short_16: ZPVLVH6Y66VL6DYI · pith_short_8: ZPVLVH6Y

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/ZPVLVH6Y66VL6DYI73CLZIJA3E \
  | 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: cbeaba9fd8f7aabf0f08fec4bca120d904dc851ef811d6c38fb3db2d76b17f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a92d181f42121a2d6c8a9b78838ae0e461aae33aff19e706a7a370a8424e725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-02-23T21:50:57Z",
    "title_canon_sha256": "1fbeedae4895941fc4aaed7974902a00d645824214fd324e77ad618e932ea92d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07328",
    "kind": "arxiv",
    "version": 2
  }
}