Pith Number

pith:6QYWX2OD

pith:2014:6QYWX2ODPZ5ERWA365I3H4Q7FJ

not attested not anchored not stored refs pending

Exact couples in semiabelian categories revisited

Sven-Ake Wegner, Yaroslav Kopylov

arxiv:1406.6789 v1 · 2014-06-26 · 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{6QYWX2ODPZ5ERWA365I3H4Q7FJ}

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	2026-05-18T02:48:55.858917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4316be9c37e7a48d81bf751b3f21f2a745f4fd675f4dcb1c6f382d3605a13a5

Aliases

arxiv: 1406.6789 · arxiv_version: 1406.6789v1 · doi: 10.48550/arxiv.1406.6789 · pith_short_12: 6QYWX2ODPZ5E · pith_short_16: 6QYWX2ODPZ5ERWA3 · pith_short_8: 6QYWX2OD

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/6QYWX2ODPZ5ERWA365I3H4Q7FJ \
  | 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: f4316be9c37e7a48d81bf751b3f21f2a745f4fd675f4dcb1c6f382d3605a13a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfbe031ea53bd8e186c3a9549d6b407c39eda59db8ef20b3919b24bf192bafa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-06-26T07:14:13Z",
    "title_canon_sha256": "1cdb8c0849d07bb213235d5b0e62ed238e53ee63ea6b7b17778e6d58cd6d706d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6789",
    "kind": "arxiv",
    "version": 1
  }
}