Pith Number

pith:3SMLPW5E

pith:2010:3SMLPW5EVK6XIBEW57I6KBAJHM

not attested not anchored not stored refs pending

Products of orthogonal projections and polar decompositions

Alejandra Maestripieri, Gustavo Corach

arxiv:1011.5237 v1 · 2010-11-23 · 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{3SMLPW5EVK6XIBEW57I6KBAJHM}

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	2026-05-18T04:34:47.732568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc98b7dba4aabd740496efd1e504093b2dd551e04e7cadf14b837a6c5abb2b6f

Aliases

arxiv: 1011.5237 · arxiv_version: 1011.5237v1 · doi: 10.48550/arxiv.1011.5237 · pith_short_12: 3SMLPW5EVK6X · pith_short_16: 3SMLPW5EVK6XIBEW · pith_short_8: 3SMLPW5E

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/3SMLPW5EVK6XIBEW57I6KBAJHM \
  | 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: dc98b7dba4aabd740496efd1e504093b2dd551e04e7cadf14b837a6c5abb2b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e935624e9fd4dc993c0ac2f9096d08c0f3a1e0129ead7b00b9777942c68c1d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-23T21:21:25Z",
    "title_canon_sha256": "774f470741a8836371f84d1b8c5b5a6157c941975532b416f3d997d7d926edbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5237",
    "kind": "arxiv",
    "version": 1
  }
}