Pith Number

pith:KJKEERC6

pith:2016:KJKEERC6CWB5LOZ5HYMDUQAMBH

not attested not anchored not stored refs pending

On the optical fields propagation in realistic environments

Xue-xiang Xu

arxiv:1608.03952 v1 · 2016-08-13 · 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{KJKEERC6CWB5LOZ5HYMDUQAMBH}

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	2026-05-18T00:53:30.593667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

525442445e1583d5bb3d3e183a400c09d78afb8b0287dbc75c1e0e25a7e6083b

Aliases

arxiv: 1608.03952 · arxiv_version: 1608.03952v1 · doi: 10.48550/arxiv.1608.03952 · pith_short_12: KJKEERC6CWB5 · pith_short_16: KJKEERC6CWB5LOZ5 · pith_short_8: KJKEERC6

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/KJKEERC6CWB5LOZ5HYMDUQAMBH \
  | 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: 525442445e1583d5bb3d3e183a400c09d78afb8b0287dbc75c1e0e25a7e6083b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b7a61bb717884cc79428ee4159ed4dd38f56e0472d94dbbc266d0cad976c87",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-08-13T08:11:22Z",
    "title_canon_sha256": "feae8d9788bc7a2dd08e009e346cf3534b9881552b08ebdd9666d5162081f1a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03952",
    "kind": "arxiv",
    "version": 1
  }
}