Pith Number

pith:JJXIKYC7

pith:2012:JJXIKYC7CXBAYWVLUOV44T7BYQ

not attested not anchored not stored refs pending

Systems of subspaces of a unitary space

Kostyantyn Yusenko, Tatiana Klimchuk, Vitalij M. Bondarenko, Vladimir V. Sergeichuk, Vyacheslav Futorny

arxiv:1208.5414 v1 · 2012-08-27 · 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{JJXIKYC7CXBAYWVLUOV44T7BYQ}

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	2026-05-18T02:56:44.519781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6e85605f15c20c5aaba3abce4fe1c41be7b1e3a30c7bdf5d7346c560e999e4

Aliases

arxiv: 1208.5414 · arxiv_version: 1208.5414v1 · doi: 10.48550/arxiv.1208.5414 · pith_short_12: JJXIKYC7CXBA · pith_short_16: JJXIKYC7CXBAYWVL · pith_short_8: JJXIKYC7

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/JJXIKYC7CXBAYWVLUOV44T7BYQ \
  | 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: 4a6e85605f15c20c5aaba3abce4fe1c41be7b1e3a30c7bdf5d7346c560e999e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b66bc7f0d7856bf5d116eafc8898d848d0dd27c38f3f4403292f4a2475dcdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-27T15:05:03Z",
    "title_canon_sha256": "ff51253cdb53290fbc798d513f8ffb05350d2c8a31741212b49021a59c639e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5414",
    "kind": "arxiv",
    "version": 1
  }
}