Pith Number

pith:V6MF4FHO

pith:2026:V6MF4FHOVETLQ3GHVRNHCC2SDQ

not attested not anchored not stored refs pending

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling

Bin Cheng, Fei Meng, Jianan Li, Man-Hong Yung

arxiv:2607.22088 v1 · 2026-07-24 · 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{V6MF4FHOVETLQ3GHVRNHCC2SDQ}

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	2026-07-27T01:20:47.585730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af985e14eea926b86cc7ac5a710b521c367f2fb9f3329e055e09a392ee2b3f91

Aliases

arxiv: 2607.22088 · arxiv_version: 2607.22088v1 · doi: 10.48550/arxiv.2607.22088 · pith_short_12: V6MF4FHOVETL · pith_short_16: V6MF4FHOVETLQ3GH · pith_short_8: V6MF4FHO

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/V6MF4FHOVETLQ3GHVRNHCC2SDQ \
  | 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: af985e14eea926b86cc7ac5a710b521c367f2fb9f3329e055e09a392ee2b3f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da03cf1bf57d4773f9d2962d7c31b6eb7ba60ff2a138eb3444fef738de35775",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-24T08:35:27Z",
    "title_canon_sha256": "53a5beae36f25e0a35d469e7ddffcb005cb598faa74b1d5d4d6264d9da38f726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22088",
    "kind": "arxiv",
    "version": 1
  }
}