Pith Number

pith:OUYOZILY

pith:2015:OUYOZILYPCSMJ33ZTPKYYZHD2T

not attested not anchored not stored refs pending

Factorization of the identity through operators with large diagonal

Niels Jakob Laustsen, Paul F.X. M\"uller, Richard Lechner

arxiv:1509.03141 v2 · 2015-09-10 · 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{OUYOZILYPCSMJ33ZTPKYYZHD2T}

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	2026-05-18T00:04:32.839480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7530eca17878a4c4ef799bd58c64e3d4cb0bc0e338cb06796e1d78d54977a78e

Aliases

arxiv: 1509.03141 · arxiv_version: 1509.03141v2 · doi: 10.48550/arxiv.1509.03141 · pith_short_12: OUYOZILYPCSM · pith_short_16: OUYOZILYPCSMJ33Z · pith_short_8: OUYOZILY

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/OUYOZILYPCSMJ33ZTPKYYZHD2T \
  | 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: 7530eca17878a4c4ef799bd58c64e3d4cb0bc0e338cb06796e1d78d54977a78e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb77c2acc550b4b3e9cd095cc46dc82fc319d36ae22ce074b328a043f62239fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-10T13:29:10Z",
    "title_canon_sha256": "810804c32d5000bb48efb342d5e091965708973d2c8be4348c9f4b15e41b3c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03141",
    "kind": "arxiv",
    "version": 2
  }
}