Pith Number

pith:GKRAXVDM

pith:2014:GKRAXVDMH3ALRJDMIL3RV64FAL

not attested not anchored not stored refs pending

Similarity problems in noncommutative polydomains

Gelu Popescu

arxiv:1412.1672 v1 · 2014-12-04 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKRAXVDMH3ALRJDMIL3RV64FAL}

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	2026-05-18T02:32:06.743478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a20bd46c3ec0b8a46c42f71afb8502f07e392e9919eb732b223d193e91e098

Aliases

arxiv: 1412.1672 · arxiv_version: 1412.1672v1 · doi: 10.48550/arxiv.1412.1672 · pith_short_12: GKRAXVDMH3AL · pith_short_16: GKRAXVDMH3ALRJDM · pith_short_8: GKRAXVDM

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/GKRAXVDMH3ALRJDMIL3RV64FAL \
  | 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: 32a20bd46c3ec0b8a46c42f71afb8502f07e392e9919eb732b223d193e91e098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "354364d9bcb6609b96bf4f3cbef4c664dae6d9a13cb396030a336056a4a30832",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-04T14:15:51Z",
    "title_canon_sha256": "f04afcee79988b8f45c93cab69f71bb0ed0ed604b7109136f91b680a7b124ab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1672",
    "kind": "arxiv",
    "version": 1
  }
}