Pith Number

pith:ABFHP3WE

pith:2010:ABFHP3WETQI5W5IHNKYJ2BTZQD

not attested not anchored not stored refs pending

Hilbert Modules - Square Roots of Positive Maps

Michael Skeide

arxiv:1007.0113 v1 · 2010-07-01 · 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{ABFHP3WETQI5W5IHNKYJ2BTZQD}

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	2026-05-18T00:37:22.947645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004a77eec49c11db75076ab09d067980ecbdffb0baa0a6b9464696d7d3d2586a

Aliases

arxiv: 1007.0113 · arxiv_version: 1007.0113v1 · doi: 10.48550/arxiv.1007.0113 · pith_short_12: ABFHP3WETQI5 · pith_short_16: ABFHP3WETQI5W5IH · pith_short_8: ABFHP3WE

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/ABFHP3WETQI5W5IHNKYJ2BTZQD \
  | 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: 004a77eec49c11db75076ab09d067980ecbdffb0baa0a6b9464696d7d3d2586a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51873e7e023bac3f087f97d76ed81cc88b228bda17f21cf27b9197048c21d930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-07-01T09:48:24Z",
    "title_canon_sha256": "bf09f3e1e04cb2286b87e3a80fc13b097d35fd5acc5b8000b2465590934562c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0113",
    "kind": "arxiv",
    "version": 1
  }
}