Pith Number

pith:JDLHO4DG

pith:2015:JDLHO4DG4DP5BSTYT6R2NPUJJB

not attested not anchored not stored refs pending

Positive extensions of Schur multipliers

Ivan G. Todorov, Rupert H. Levene, Ying-Fen Lin

arxiv:1511.07049 v2 · 2015-11-22 · 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{JDLHO4DG4DP5BSTYT6R2NPUJJB}

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	2026-05-18T00:07:12.649991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d6777066e0dfd0ca789fa3a6be894863df6c388fa02d028c32ae5ce5d4abd3

Aliases

arxiv: 1511.07049 · arxiv_version: 1511.07049v2 · doi: 10.48550/arxiv.1511.07049 · pith_short_12: JDLHO4DG4DP5 · pith_short_16: JDLHO4DG4DP5BSTY · pith_short_8: JDLHO4DG

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/JDLHO4DG4DP5BSTYT6R2NPUJJB \
  | 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: 48d6777066e0dfd0ca789fa3a6be894863df6c388fa02d028c32ae5ce5d4abd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c2ebd19935e7f3b41bf0729f20a47ce8c770b3b6fff4a8caca63c3762cc04f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-22T18:38:38Z",
    "title_canon_sha256": "3c65c3eabbc85f967e976581c3a91448b2e6a50251459883167ec5ede5506fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07049",
    "kind": "arxiv",
    "version": 2
  }
}