Pith Number

pith:5ZGBDL7J

pith:2012:5ZGBDL7JMFUZ7LK3ABZPMQTPOW

not attested not anchored not stored refs pending

Study the dynamics of the nonspreading Airy packets from the time evolution operator

Chyi-Lung Lin, Meng-Jie Huang, Te-Chih Hsiung

arxiv:1208.0845 v1 · 2012-08-03 · 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{5ZGBDL7JMFUZ7LK3ABZPMQTPOW}

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	2026-05-18T03:49:21.359003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4c11afe961699fad5b0072f6426f758871b401993457e13db421a061c4d0f2

Aliases

arxiv: 1208.0845 · arxiv_version: 1208.0845v1 · doi: 10.48550/arxiv.1208.0845 · pith_short_12: 5ZGBDL7JMFUZ · pith_short_16: 5ZGBDL7JMFUZ7LK3 · pith_short_8: 5ZGBDL7J

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/5ZGBDL7JMFUZ7LK3ABZPMQTPOW \
  | 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: ee4c11afe961699fad5b0072f6426f758871b401993457e13db421a061c4d0f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e3242fc0154fa1103016352a1684f8e236ecf7c0c05f632a2a85fd51c7164d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-03T21:01:11Z",
    "title_canon_sha256": "cddc3cde43f90ceda8157e55829987e0b0257180ecadd366ce10872b2ddff0fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0845",
    "kind": "arxiv",
    "version": 1
  }
}