Pith Number

pith:OQ7W2TF7

pith:2016:OQ7W2TF74X6AJQVIBTJQ2W3Y5E

not attested not anchored not stored refs pending

Convex envelopes for fixed rank approximation

Carl Olsson, Fredrik Andersson, Marcus Carlsson

arxiv:1608.07731 v1 · 2016-08-27 · 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{OQ7W2TF74X6AJQVIBTJQ2W3Y5E}

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	2026-05-18T01:07:50.028692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

743f6d4cbfe5fc04c2a80cd30d5b78e92d4faa71f45da30acfe2bc4b52b93379

Aliases

arxiv: 1608.07731 · arxiv_version: 1608.07731v1 · doi: 10.48550/arxiv.1608.07731 · pith_short_12: OQ7W2TF74X6A · pith_short_16: OQ7W2TF74X6AJQVI · pith_short_8: OQ7W2TF7

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/OQ7W2TF74X6AJQVIBTJQ2W3Y5E \
  | 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: 743f6d4cbfe5fc04c2a80cd30d5b78e92d4faa71f45da30acfe2bc4b52b93379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39bf4be7a7cbb10724258a00714cd41ca17b83c8122ccf97215d61324726bb8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-27T18:07:34Z",
    "title_canon_sha256": "0cc6e46f4c147f26910d40084915c9c9930ad92222a32899a3c1cfd96409c8ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07731",
    "kind": "arxiv",
    "version": 1
  }
}