Pith Number

pith:47U5VJIS

pith:2013:47U5VJIS46SSMXYW2CFYFX6PIA

not attested not anchored not stored refs pending

Weak type estimates for the absolute value mapping

D. Potapov, D. Zanin, F. Sukochev, M. Caspers

arxiv:1309.3378 v2 · 2013-09-13 · math.FA · 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{47U5VJIS46SSMXYW2CFYFX6PIA}

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	2026-05-18T02:49:31.739932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e9daa512e7a5265f16d08b82dfcf4031dcd4a02a55737f3d08ee437634c6d0

Aliases

arxiv: 1309.3378 · arxiv_version: 1309.3378v2 · doi: 10.48550/arxiv.1309.3378 · pith_short_12: 47U5VJIS46SS · pith_short_16: 47U5VJIS46SSMXYW · pith_short_8: 47U5VJIS

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/47U5VJIS46SSMXYW2CFYFX6PIA \
  | 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: e7e9daa512e7a5265f16d08b82dfcf4031dcd4a02a55737f3d08ee437634c6d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4af3d65ace878658aa7e9cb679acca84e468c6657fd01fddde025f052c4e369",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-13T06:52:40Z",
    "title_canon_sha256": "fd2268881e5c6f480bb630b286a4be2283ffd55cf405b603c8cbba67c587a3c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3378",
    "kind": "arxiv",
    "version": 2
  }
}