Pith Number

pith:BB3XII7G

pith:2026:BB3XII7GBK4JW26C7AXVNZYB32

not attested not anchored not stored refs pending

Noise-robust discrimination of incoherent point sources with spatial-mode demultiplexing

Chao-Ning Hu, Jian-Qiang Liu, Jun Xin, Xiao-Ming Lu

arxiv:2608.01765 v1 · 2026-08-03 · 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{BB3XII7GBK4JW26C7AXVNZYB32}

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	2026-08-04T02:06:49.782819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08777423e60ab89b6bc2f82f56e701deb56741da4ed348dc7668c7a86f2ca01b

Aliases

arxiv: 2608.01765 · arxiv_version: 2608.01765v1 · doi: 10.48550/arxiv.2608.01765 · pith_short_12: BB3XII7GBK4J · pith_short_16: BB3XII7GBK4JW26C · pith_short_8: BB3XII7G

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/BB3XII7GBK4JW26C7AXVNZYB32 \
  | 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: 08777423e60ab89b6bc2f82f56e701deb56741da4ed348dc7668c7a86f2ca01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56791273a0ddb9611d5db89ee376b05f2658b5fd31e651e25da3c169f5250095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-03T06:37:10Z",
    "title_canon_sha256": "a768b3c70cad0abdc97f683bd9a04e9acb8df45ec5980eb1743a6c3ad9a916bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01765",
    "kind": "arxiv",
    "version": 1
  }
}