Pith Number

pith:ZJUBSX5C

pith:2013:ZJUBSX5CXVXGHECRYFZU6ARHQR

not attested not anchored not stored refs pending

Analytic Model of Doubly Commuting Contractions

E. K. Narayanan, Jaydeb Sarkar, T. Bhattacharyya

arxiv:1310.0950 v2 · 2013-10-03 · 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{ZJUBSX5CXVXGHECRYFZU6ARHQR}

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	2026-05-18T01:11:22.686777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca68195fa2bd6e639051c1734f0227845a2cae14275dc238489171f7430bd6a8

Aliases

arxiv: 1310.0950 · arxiv_version: 1310.0950v2 · doi: 10.48550/arxiv.1310.0950 · pith_short_12: ZJUBSX5CXVXG · pith_short_16: ZJUBSX5CXVXGHECR · pith_short_8: ZJUBSX5C

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/ZJUBSX5CXVXGHECRYFZU6ARHQR \
  | 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: ca68195fa2bd6e639051c1734f0227845a2cae14275dc238489171f7430bd6a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7539585709419e01ccb527e00da0ad8bce63be9269e737c6cc7923765e11f2",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-03T12:09:12Z",
    "title_canon_sha256": "415ee75cb154fdc0493be0d9acc8d86bf16ed02f85d0bad68e65ef1394a88b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0950",
    "kind": "arxiv",
    "version": 2
  }
}