Pith Number

pith:ASIN4PMI

pith:2012:ASIN4PMIKWVYPLU75OJJDQMIHR

not attested not anchored not stored refs pending

Infinite Dimensional Bicomplex Spectral Decomposition Theorem

Dominic Rochon, Kuldeep Singh Charak, Ravinder Kumar

arxiv:1206.4542 v2 · 2012-06-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASIN4PMIKWVYPLU75OJJDQMIHR}

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	2026-05-18T03:35:38.467402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0490de3d8855ab87ae9feb9291c1883c7fbccbcdfea58298529f5cc5c83b62b2

Aliases

arxiv: 1206.4542 · arxiv_version: 1206.4542v2 · doi: 10.48550/arxiv.1206.4542 · pith_short_12: ASIN4PMIKWVY · pith_short_16: ASIN4PMIKWVYPLU7 · pith_short_8: ASIN4PMI

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/ASIN4PMIKWVYPLU75OJJDQMIHR \
  | 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: 0490de3d8855ab87ae9feb9291c1883c7fbccbcdfea58298529f5cc5c83b62b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53322fefb0dbc2aefae78cfa53f12f0cfcad89b0d63c20749bb3d0c314787553",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-19T17:32:31Z",
    "title_canon_sha256": "c740da3d0c1d65aabdf61a220e44f206a76764df063581eae1289ebfb196e583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4542",
    "kind": "arxiv",
    "version": 2
  }
}