Pith Number

pith:3FHLK7MD

pith:2017:3FHLK7MDNHZGIDCEW6VJW4NBID

not attested not anchored not stored refs pending

Rank of a co-doubly commuting submodule is 2

Arup Chattopadhyay, B. Krishna Das, Jaydeb Sarkar

arxiv:1702.01263 v2 · 2017-02-04 · math.FA · math.CV · 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{3FHLK7MDNHZGIDCEW6VJW4NBID}

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	2026-05-18T00:45:30.071165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94eb57d8369f2640c44b7aa9b71a140d96fa2e1a0f181a09a530b57755257e1

Aliases

arxiv: 1702.01263 · arxiv_version: 1702.01263v2 · doi: 10.48550/arxiv.1702.01263 · pith_short_12: 3FHLK7MDNHZG · pith_short_16: 3FHLK7MDNHZGIDCE · pith_short_8: 3FHLK7MD

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/3FHLK7MDNHZGIDCEW6VJW4NBID \
  | 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: d94eb57d8369f2640c44b7aa9b71a140d96fa2e1a0f181a09a530b57755257e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f511ead108a47a865a364fd7715fe488a4767b7d73836aa094d5cc3715a583da",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-04T10:45:22Z",
    "title_canon_sha256": "89aa7b27c9d00021bbbe6bcc96d1f1550bf6b91de97f09f1132de07cacba411a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01263",
    "kind": "arxiv",
    "version": 2
  }
}