Pith Number

pith:B6JXZ5GY

pith:2016:B6JXZ5GYDB4XDLIVWXFC7JAQYY

not attested not anchored not stored refs pending

Module tensor product of subnormal modules need not be subnormal

Akash Anand, Sameer Chavan

arxiv:1608.08113 v1 · 2016-08-29 · 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{B6JXZ5GYDB4XDLIVWXFC7JAQYY}

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	2026-05-18T01:07:48.653341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f937cf4d8187971ad15b5ca2fa410c62053aec80d1eb3723c602c622846f4bb

Aliases

arxiv: 1608.08113 · arxiv_version: 1608.08113v1 · doi: 10.48550/arxiv.1608.08113 · pith_short_12: B6JXZ5GYDB4X · pith_short_16: B6JXZ5GYDB4XDLIV · pith_short_8: B6JXZ5GY

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/B6JXZ5GYDB4XDLIVWXFC7JAQYY \
  | 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: 0f937cf4d8187971ad15b5ca2fa410c62053aec80d1eb3723c602c622846f4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e5fa2f0890fe56144b91f0cdad3280456614bec1c0d13d58aba7d66084423cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-29T15:46:41Z",
    "title_canon_sha256": "7ca1c42e8f72d5fac107e458daba8e82e06a77db622fb1a7a9679c711cb84e98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08113",
    "kind": "arxiv",
    "version": 1
  }
}