Pith Number

pith:6LC6P7BA

pith:2013:6LC6P7BAS2LEJG7IF7RK5JNFKJ

not attested not anchored not stored refs pending

Integral of Map into Abelian $\Omega$-group

Aleks Kleyn

arxiv:1310.5591 v2 · 2013-10-11 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LC6P7BAS2LEJG7IF7RK5JNFKJ}

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	2026-05-18T02:23:58.854181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2c5e7fc209696449be82fe2aea5a55244d4b529f14ef6867cfa92d1edaaa2e8

Aliases

arxiv: 1310.5591 · arxiv_version: 1310.5591v2 · doi: 10.48550/arxiv.1310.5591 · pith_short_12: 6LC6P7BAS2LE · pith_short_16: 6LC6P7BAS2LEJG7I · pith_short_8: 6LC6P7BA

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/6LC6P7BAS2LEJG7IF7RK5JNFKJ \
  | 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: f2c5e7fc209696449be82fe2aea5a55244d4b529f14ef6867cfa92d1edaaa2e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b26b662a1eab9160f48e66c96ca0e3b2761d2b8601fcc2574d71e92c90a9d42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2013-10-11T16:11:14Z",
    "title_canon_sha256": "ac3603ea8dd63ace26fd82016eba9e11b7d3bcdb5e2e6aaa61b406403c5ec0ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5591",
    "kind": "arxiv",
    "version": 2
  }
}