Pith. sign in
Pith Number

pith:ZNDRB7AQ

pith:2020:ZNDRB7AQAGDBCJ5EZDAQ2K4M4F
not attested not anchored not stored refs pending

Bracketing brackets with bras and kets

Angelie Vincent, Emily Clark, J. Nathan Kutz, Steven L. Brunton

arxiv:2008.12247 v1 · 2020-07-31 · cs.LG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZNDRB7AQAGDBCJ5EZDAQ2K4M4F}

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 2026-07-05T01:31:04.331332Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cb4710fc1001861127a4c8c10d2b8ce17f638de5d225d0314c105ca585fc31aa

Aliases

arxiv: 2008.12247 · arxiv_version: 2008.12247v1 · doi: 10.48550/arxiv.2008.12247 · pith_short_12: ZNDRB7AQAGDB · pith_short_16: ZNDRB7AQAGDBCJ5E · pith_short_8: ZNDRB7AQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZNDRB7AQAGDBCJ5EZDAQ2K4M4F \
  | 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: cb4710fc1001861127a4c8c10d2b8ce17f638de5d225d0314c105ca585fc31aa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e35c6eec7784fa099f835a1fc9d8c6b88d6e81c7fbc352cc0b185f1764510bf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-07-31T22:19:00Z",
    "title_canon_sha256": "5f133d47798e168764b6c7db4288cfb00e7476d15525b128a6cba6c298fefacc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.12247",
    "kind": "arxiv",
    "version": 1
  }
}