Pith Number

pith:F2335WO2

pith:2014:F2335WO24YUNMTW2NF7FWB4BR2

not attested not anchored not stored refs pending

Arens regularity of projective tensor products

Ajay Kumar, Vandana Rajpal

arxiv:1401.1997 v2 · 2014-01-09 · 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{F2335WO24YUNMTW2NF7FWB4BR2}

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	2026-05-18T01:34:45.734132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb7bed9dae628d64eda697e5b07818e90049024eea8f7e14632a0603134cfd0

Aliases

arxiv: 1401.1997 · arxiv_version: 1401.1997v2 · doi: 10.48550/arxiv.1401.1997 · pith_short_12: F2335WO24YUN · pith_short_16: F2335WO24YUNMTW2 · pith_short_8: F2335WO2

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/F2335WO24YUNMTW2NF7FWB4BR2 \
  | 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: 2eb7bed9dae628d64eda697e5b07818e90049024eea8f7e14632a0603134cfd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b3578d1ad2171de7028b237f8bc429ed7d8183143a2088fae5131420b5f8b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-01-09T13:37:34Z",
    "title_canon_sha256": "cc91dfd9223fd1900f0f875d117f1bd0678d0666748e24993b4520c80fc7a5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1997",
    "kind": "arxiv",
    "version": 2
  }
}