Pith Number

pith:CKNJODHS

pith:2020:CKNJODHSV3RI5XH6VN4ZMAT6LA

not attested not anchored not stored refs pending

Symmetry Adapted Gram Spectrahedra

Alexander Heaton, Isabelle Shankar, Serkan Ho\c{s}ten

arxiv:2004.09641 v2 · 2020-04-20 · math.AG · 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{CKNJODHSV3RI5XH6VN4ZMAT6LA}

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	2026-07-05T00:58:53.908619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

129a970cf2aee28edcfeab7996027e5825553362892913b192fa51032c115adb

Aliases

arxiv: 2004.09641 · arxiv_version: 2004.09641v2 · doi: 10.48550/arxiv.2004.09641 · pith_short_12: CKNJODHSV3RI · pith_short_16: CKNJODHSV3RI5XH6 · pith_short_8: CKNJODHS

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/CKNJODHSV3RI5XH6VN4ZMAT6LA \
  | 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: 129a970cf2aee28edcfeab7996027e5825553362892913b192fa51032c115adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7cc610b9cd87cf801996acd72f1d5978f17aedcd640080afab13a13d6b65d48",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-04-20T21:23:43Z",
    "title_canon_sha256": "7e5b65164c4d4e67b098b6d1808de396d7405e76bebfb813fc1c92b400f9a958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09641",
    "kind": "arxiv",
    "version": 2
  }
}