Pith Number

pith:75RJCKOM

pith:2013:75RJCKOMSYRKSKB33IKXXPSX5I

not attested not anchored not stored refs pending

Tensor product of quotient Hilbert modules

Arup Chattopadhyay, B. Krishna Das, Jaydeb Sarkar

arxiv:1310.5122 v1 · 2013-10-18 · 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{75RJCKOMSYRKSKB33IKXXPSX5I}

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	2026-05-18T03:10:01.055341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff629129cc9622a9283bda157bbe57ea30bd127d7b1190515c68244cc4191f77

Aliases

arxiv: 1310.5122 · arxiv_version: 1310.5122v1 · doi: 10.48550/arxiv.1310.5122 · pith_short_12: 75RJCKOMSYRK · pith_short_16: 75RJCKOMSYRKSKB3 · pith_short_8: 75RJCKOM

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/75RJCKOMSYRKSKB33IKXXPSX5I \
  | 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: ff629129cc9622a9283bda157bbe57ea30bd127d7b1190515c68244cc4191f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b890c082804f9e36a458906b3ba40ccbe88f5f05930ea450e02ce81964c324",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-18T18:43:18Z",
    "title_canon_sha256": "5f6e692890fd1ca88ce5d9a264d0d0327f2255eccbca7d65d248103615705a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5122",
    "kind": "arxiv",
    "version": 1
  }
}