Pith Number

pith:2Z3WF6HX

pith:2011:2Z3WF6HXKWPLWPU3T6CYPEB3RO

not attested not anchored not stored refs pending

Quantum superposition of localized and delocalized phases of photons

Cheng-Zu Li, Chun-Wang Wu, Hong-Yi Dai, Ming Gao, Ping-Xing Chen, Zhi-Jiao Deng

arxiv:1109.4997 v1 · 2011-09-23 · 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{2Z3WF6HXKWPLWPU3T6CYPEB3RO}

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	2026-05-18T02:00:26.232653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67762f8f7559ebb3e9b9f8587903b8b85e91ae298592d29a71a7a532f92ad4a

Aliases

arxiv: 1109.4997 · arxiv_version: 1109.4997v1 · doi: 10.48550/arxiv.1109.4997 · pith_short_12: 2Z3WF6HXKWPL · pith_short_16: 2Z3WF6HXKWPLWPU3 · pith_short_8: 2Z3WF6HX

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/2Z3WF6HXKWPLWPU3T6CYPEB3RO \
  | 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: d67762f8f7559ebb3e9b9f8587903b8b85e91ae298592d29a71a7a532f92ad4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9484cff8717cd51bd69752fcecad5d2a79106ab77060549ce8a48394e9cad9c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-23T04:47:13Z",
    "title_canon_sha256": "5cc3c415c0a8c57ed2038c581aa2c9fcadab801f24edebd782a6deacad7037fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4997",
    "kind": "arxiv",
    "version": 1
  }
}