Pith Number

pith:RPRQQ5RJ

pith:2019:RPRQQ5RJKXQQMWFC4MZCPCDV5W

not attested not anchored not stored refs pending

Decomposition of the tensor product of two Hilbert modules

Gadadhar Misra, Soumitra Ghara

arxiv:1906.03687 v1 · 2019-06-09 · 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{RPRQQ5RJKXQQMWFC4MZCPCDV5W}

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	2026-05-17T23:43:45.338323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8be308762955e10658a2e332278875eda110a37944d77b41462bbdb1c5ad337f

Aliases

arxiv: 1906.03687 · arxiv_version: 1906.03687v1 · doi: 10.48550/arxiv.1906.03687 · pith_short_12: RPRQQ5RJKXQQ · pith_short_16: RPRQQ5RJKXQQMWFC · pith_short_8: RPRQQ5RJ

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/RPRQQ5RJKXQQMWFC4MZCPCDV5W \
  | 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: 8be308762955e10658a2e332278875eda110a37944d77b41462bbdb1c5ad337f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e2527c4566fb9cd2280051cdb186d127b995f8b5c2395126e1c4d8b16f34e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-09T18:38:00Z",
    "title_canon_sha256": "d37a43697d80a4f04aaf275b00ebb6baef46863a9500023aa587acc2b6a23f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03687",
    "kind": "arxiv",
    "version": 1
  }
}