Pith Number

pith:3ALWHD4W

pith:2014:3ALWHD4WEGBZUDBLPG4TUSTVRJ

not attested not anchored not stored refs pending

Equivalence of hearts of twin cotorsion pairs on triangulated categories

Hiroyuki Nakaoka

arxiv:1407.7130 v3 · 2014-07-26 · math.CT · 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{3ALWHD4WEGBZUDBLPG4TUSTVRJ}

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	2026-05-18T01:25:16.192724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d817638f9621839a0c2b79b93a4a758a557dcae90369882be24d0866f8aad291

Aliases

arxiv: 1407.7130 · arxiv_version: 1407.7130v3 · doi: 10.48550/arxiv.1407.7130 · pith_short_12: 3ALWHD4WEGBZ · pith_short_16: 3ALWHD4WEGBZUDBL · pith_short_8: 3ALWHD4W

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/3ALWHD4WEGBZUDBLPG4TUSTVRJ \
  | 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: d817638f9621839a0c2b79b93a4a758a557dcae90369882be24d0866f8aad291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af72f5053a8d4189f70a22c6f4b17dc03938742223ab9752f1c071b3df70faa",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-07-26T14:09:15Z",
    "title_canon_sha256": "09b4978f3c162ecb320a9d507950c5f18dc996b0c2b69dbc476dff0e31ec3a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7130",
    "kind": "arxiv",
    "version": 3
  }
}