Pith Number

pith:NQTMRKCN

pith:2011:NQTMRKCND6ATWSVHM2S2G5LVSB

not attested not anchored not stored refs pending

Multiplicative isometries on the Smirnov class

Osamu Hatori, Yasuo Iida

arxiv:1105.2650 v1 · 2011-05-13 · 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{NQTMRKCND6ATWSVHM2S2G5LVSB}

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	2026-05-18T04:22:09.925260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c26c8a84d1f813b4aa766a5a375759066a3b2080306e4925678c14c51cda05c

Aliases

arxiv: 1105.2650 · arxiv_version: 1105.2650v1 · doi: 10.48550/arxiv.1105.2650 · pith_short_12: NQTMRKCND6AT · pith_short_16: NQTMRKCND6ATWSVH · pith_short_8: NQTMRKCN

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/NQTMRKCND6ATWSVHM2S2G5LVSB \
  | 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: 6c26c8a84d1f813b4aa766a5a375759066a3b2080306e4925678c14c51cda05c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71a357aa3a65ca34ab084e7bb3805f7985eaba73b3ee22f822d5c30f39d0009c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-13T08:31:32Z",
    "title_canon_sha256": "d42a88dc0d0d448630503a37961b6f9eb082d3fc3975590722d4b62c91e7a4f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2650",
    "kind": "arxiv",
    "version": 1
  }
}