Pith Number

pith:BAMCGSJ5

pith:2013:BAMCGSJ52Z75MRYG2WJVCRM4YG

not attested not anchored not stored refs pending

Power Partial Isometry Index and Ascent of a Finite Matrix

Hwa-Long Gau, Pei Yuan Wu

arxiv:1311.2361 v1 · 2013-11-11 · 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{BAMCGSJ52Z75MRYG2WJVCRM4YG}

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	2026-05-18T03:07:32.857385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

081823493dd67fd64706d59351459cc1a51da14016176d3742740981e52339c9

Aliases

arxiv: 1311.2361 · arxiv_version: 1311.2361v1 · doi: 10.48550/arxiv.1311.2361 · pith_short_12: BAMCGSJ52Z75 · pith_short_16: BAMCGSJ52Z75MRYG · pith_short_8: BAMCGSJ5

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/BAMCGSJ52Z75MRYG2WJVCRM4YG \
  | 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: 081823493dd67fd64706d59351459cc1a51da14016176d3742740981e52339c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157789fd4fe8b415194b6e3a233b5d47fb8269739727c6169c7cbdbe2480f91c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-11T06:19:26Z",
    "title_canon_sha256": "bb7d39bde7f685c10526c80d83096e4869a2e63128d11e7ffb77dee8b66e67bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2361",
    "kind": "arxiv",
    "version": 1
  }
}