Pith Number

pith:ECHGASHZ

pith:2026:ECHGASHZ4WK66KIX2667YDCSOL

not attested not anchored not stored refs pending

Randomized product formulas beyond optimal deterministic scaling

Leeseok Kim, Luis Pedro Garc\'ia-Pintos

arxiv:2608.07720 v1 · 2026-08-07 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECHGASHZ4WK66KIX2667YDCSOL}

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	2026-08-11T00:15:46.681489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208e6048f9e595ef2917d7bdfc0c5272c0338a4a5ddc6fea362403d81726105b

Aliases

arxiv: 2608.07720 · arxiv_version: 2608.07720v1 · doi: 10.48550/arxiv.2608.07720 · pith_short_12: ECHGASHZ4WK6 · pith_short_16: ECHGASHZ4WK66KIX · pith_short_8: ECHGASHZ

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/ECHGASHZ4WK66KIX2667YDCSOL \
  | 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: 208e6048f9e595ef2917d7bdfc0c5272c0338a4a5ddc6fea362403d81726105b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e93b19f4a46ed13b4ba49142dc8291c0a122600dc65e603e1ce4908502a38f1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-07T19:13:09Z",
    "title_canon_sha256": "f2ece1bf64a2513abf54154c29d7008108abbf0ac42a5b66d612446c8f05b068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07720",
    "kind": "arxiv",
    "version": 1
  }
}