Pith Number

pith:XOZXPDP4

pith:2015:XOZXPDP4WCMREZ6ENOKF5RZJUZ

not attested not anchored not stored refs pending

Dual accelerating Airy-Talbot recurrence effect

Hua Zhong, Milivoj R. Beli\'c, Min Xiao, Weiping Zhong, Xing Liu, Yanpeng Zhang, Yiqi Zhang

arxiv:1510.05856 v1 · 2015-10-20 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOZXPDP4WCMREZ6ENOKF5RZJUZ}

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	2026-05-18T01:24:51.472996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb3778dfcb0991267c46b945ec729a6422b866e27c71b1160d9ab364d764787

Aliases

arxiv: 1510.05856 · arxiv_version: 1510.05856v1 · doi: 10.48550/arxiv.1510.05856 · pith_short_12: XOZXPDP4WCMR · pith_short_16: XOZXPDP4WCMREZ6E · pith_short_8: XOZXPDP4

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/XOZXPDP4WCMREZ6ENOKF5RZJUZ \
  | 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: bbb3778dfcb0991267c46b945ec729a6422b866e27c71b1160d9ab364d764787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "334fa5c427ac9d9fe2d412e75bcdb32a773e7aa42a271ecefbf5f5248af3777d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-10-20T12:19:03Z",
    "title_canon_sha256": "d54df8f690ab3bcce6f52cc6b41a5a92d7e565dc8677debc8999d0f19b6d13d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05856",
    "kind": "arxiv",
    "version": 1
  }
}