Pith Number

pith:PRTSQKTP

pith:2018:PRTSQKTPOSV3N2EVWEOT5C42KD

not attested not anchored not stored refs pending

A Gramian Description of the Degree 4 Generalized Elliptope

Afonso S. Bandeira, Dmitriy Kunisky

arxiv:1812.11583 v2 · 2018-12-30 · 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{PRTSQKTPOSV3N2EVWEOT5C42KD}

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	2026-05-17T23:50:36.193690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c67282a6f74abb6e895b11d3e8b9a50c7797ba24c7a89f68676b239edc42459

Aliases

arxiv: 1812.11583 · arxiv_version: 1812.11583v2 · doi: 10.48550/arxiv.1812.11583 · pith_short_12: PRTSQKTPOSV3 · pith_short_16: PRTSQKTPOSV3N2EV · pith_short_8: PRTSQKTP

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/PRTSQKTPOSV3N2EVWEOT5C42KD \
  | 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: 7c67282a6f74abb6e895b11d3e8b9a50c7797ba24c7a89f68676b239edc42459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d479197262d13417447b0229e424ee93cc3f86b7c0bb057d99128fc72f29b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-30T18:32:07Z",
    "title_canon_sha256": "39537387cacf041ef25d53f7bf7b61c5f55fcbef71f8dec42e200b7eb6c79a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11583",
    "kind": "arxiv",
    "version": 2
  }
}