Pith Number

pith:XJ6CELGV

pith:2013:XJ6CELGVS6Y6IP6TSXD6RPG5PL

not attested not anchored not stored refs pending

On the (non)existence of best low-rank approximations of generic IxJx2 arrays

Alwin Stegeman

arxiv:1309.5727 v2 · 2013-09-23 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJ6CELGVS6Y6IP6TSXD6RPG5PL}

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	2026-05-18T02:03:38.089946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7c222cd597b1e43fd395c7e8bcdd7ad54f6e45b1cdd61288786c45d9df7c5a

Aliases

arxiv: 1309.5727 · arxiv_version: 1309.5727v2 · doi: 10.48550/arxiv.1309.5727 · pith_short_12: XJ6CELGVS6Y6 · pith_short_16: XJ6CELGVS6Y6IP6T · pith_short_8: XJ6CELGV

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/XJ6CELGVS6Y6IP6TSXD6RPG5PL \
  | 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: ba7c222cd597b1e43fd395c7e8bcdd7ad54f6e45b1cdd61288786c45d9df7c5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4a573c43cece06ec183a23736728d8d28874934ee51b38b30cb1243cac9655d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-23T08:43:13Z",
    "title_canon_sha256": "abcccfad46e00c10ff985b6bcf9f15d36168696a61c4c62f2f9871e3d7f586cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5727",
    "kind": "arxiv",
    "version": 2
  }
}