Pith Number

pith:ABRYODOW

pith:2013:ABRYODOWZX7BSMCES2MAGB6UQ7

not attested not anchored not stored refs pending

On the product of projectors and generalized inverses

Anja Korporal, Georg Regensburger

arxiv:1308.2775 v1 · 2013-08-13 · math.FA · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABRYODOWZX7BSMCES2MAGB6UQ7}

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	2026-05-18T03:16:05.274373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0063870dd6cdfe19304496980307d487e04b505588d41ceba512e9d02b6302db

Aliases

arxiv: 1308.2775 · arxiv_version: 1308.2775v1 · doi: 10.48550/arxiv.1308.2775 · pith_short_12: ABRYODOWZX7B · pith_short_16: ABRYODOWZX7BSMCE · pith_short_8: ABRYODOW

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/ABRYODOWZX7BSMCES2MAGB6UQ7 \
  | 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: 0063870dd6cdfe19304496980307d487e04b505588d41ceba512e9d02b6302db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b40cc60c0fa2be7efa8b44a68694df52a1e72276045771c34174cbc3d16189",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-13T07:29:17Z",
    "title_canon_sha256": "e6ea315a9d7e72cbecb69c706a7d50a74b48938110c2d75dc674713235c660ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2775",
    "kind": "arxiv",
    "version": 1
  }
}