Pith Number

pith:OE4646B5

pith:2025:OE4646B5SF2XS2N7BRMZGL73ZN

not attested not anchored not stored refs pending

A slightly improved upper bound for quantum statistical zero-knowledge

Fran\c{c}ois Le Gall, Qisheng Wang, Yupan Liu

arxiv:2512.11597 v2 · 2025-12-12 · quant-ph · cs.CC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OE4646B5SF2XS2N7BRMZGL73ZN}

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	2026-06-30T01:17:30.704250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7139ee783d91757969bf0c59932ffbcb68195469907901f0a76edc0adb02565f

Aliases

arxiv: 2512.11597 · arxiv_version: 2512.11597v2 · doi: 10.48550/arxiv.2512.11597 · pith_short_12: OE4646B5SF2X · pith_short_16: OE4646B5SF2XS2N7 · pith_short_8: OE4646B5

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/OE4646B5SF2XS2N7BRMZGL73ZN \
  | 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: 7139ee783d91757969bf0c59932ffbcb68195469907901f0a76edc0adb02565f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef68c8e29967faaead456be5a486282755affca211e94a469a74f0d1f7b88cd4",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-12T14:33:20Z",
    "title_canon_sha256": "62f2746509a1ed5d936c5592a9608582694da390e2dc00a24a46cc89a27e3865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11597",
    "kind": "arxiv",
    "version": 2
  }
}