Pith Number

pith:63BUCX4N

pith:2014:63BUCX4NLMCN2P3XLBXC7ENQER

not attested not anchored not stored refs pending

Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank

Hamza Fawzi, Pablo A. Parrilo

arxiv:1404.3240 v1 · 2014-04-11 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63BUCX4NLMCN2P3XLBXC7ENQER}

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	2026-05-18T01:09:38.190351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c3415f8d5b04dd3f77586e2f91b0245aae8409aa68eb957246d9ef6679c797

Aliases

arxiv: 1404.3240 · arxiv_version: 1404.3240v1 · doi: 10.48550/arxiv.1404.3240 · pith_short_12: 63BUCX4NLMCN · pith_short_16: 63BUCX4NLMCN2P3X · pith_short_8: 63BUCX4N

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/63BUCX4NLMCN2P3XLBXC7ENQER \
  | 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: f6c3415f8d5b04dd3f77586e2f91b0245aae8409aa68eb957246d9ef6679c797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23b63b05fdd776bf4764d6dc6b4872c0b4a931ddcfb6e836262b80160643f4e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-04-11T22:38:51Z",
    "title_canon_sha256": "b81096ec23de04fdb8c63b87eab7bcc305d91f133f2250bd44f1548823157726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3240",
    "kind": "arxiv",
    "version": 1
  }
}