Pith Number

pith:CZKXGJ2U

pith:2019:CZKXGJ2UOPCM6P7B6EK744EZZM

not attested not anchored not stored refs pending

Sum-of-Squares Optimization and the Sparsity Structure of Equiangular Tight Frames

Afonso S. Bandeira, Dmitriy Kunisky

arxiv:1901.10697 v1 · 2019-01-30 · 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{CZKXGJ2UOPCM6P7B6EK744EZZM}

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	2026-05-17T23:55:06.247637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165573275473c4cf3fe1f115fe7099cb3a8721047e2db828bdf29fc70516c468

Aliases

arxiv: 1901.10697 · arxiv_version: 1901.10697v1 · doi: 10.48550/arxiv.1901.10697 · pith_short_12: CZKXGJ2UOPCM · pith_short_16: CZKXGJ2UOPCM6P7B · pith_short_8: CZKXGJ2U

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/CZKXGJ2UOPCM6P7B6EK744EZZM \
  | 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: 165573275473c4cf3fe1f115fe7099cb3a8721047e2db828bdf29fc70516c468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "640eab637bda382b9223eb21beb066408aa786ae582a9c085954e77394686f26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-30T07:40:36Z",
    "title_canon_sha256": "e79061c5f37f8e5ccb8956fb0c20e10b4b1de13babb1f3e330bdf19d0cbc1abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10697",
    "kind": "arxiv",
    "version": 1
  }
}