Pith Number

pith:JSFTO7GG

pith:2026:JSFTO7GGYEOMDY3O3JBFVJ73OX

not attested not anchored not stored refs pending

Near-Optimal Mode Scaling for Finite-Dimensional Boson Sampling via Lie-Algebraic Leakage Bounds

Chon-Fai Kam, En-Jui Kuo

arxiv:2607.11708 v1 · 2026-07-13 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSFTO7GGYEOMDY3O3JBFVJ73OX}

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	2026-07-14T02:22:20.069566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c8b377cc6c11cc1e36eda425aa7fb75e2cb4c8a8d75a8abe89c5ae5e7d7e440

Aliases

arxiv: 2607.11708 · arxiv_version: 2607.11708v1 · doi: 10.48550/arxiv.2607.11708 · pith_short_12: JSFTO7GGYEOM · pith_short_16: JSFTO7GGYEOMDY3O · pith_short_8: JSFTO7GG

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/JSFTO7GGYEOMDY3O3JBFVJ73OX \
  | 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: 4c8b377cc6c11cc1e36eda425aa7fb75e2cb4c8a8d75a8abe89c5ae5e7d7e440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37ab6ba2ce9c38ede5c02281272859452e10133c1d17d3fe9aa4746adc5ef27",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-13T15:36:29Z",
    "title_canon_sha256": "5f0e144515a0b92615543a388be695780646fcfa7708f558cfe6ba31fb2ff1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11708",
    "kind": "arxiv",
    "version": 1
  }
}