Pith Number

pith:ZQ6K4SKC

pith:2011:ZQ6K4SKCSSNWX4INMXYEFX4IJY

not attested not anchored not stored refs pending

Nonlocal gap solitons in parity-time symmetric optical lattices

Huagang Li, Xing Zhu, Xiujuan jiang, Zhiwei Shi

arxiv:1109.4987 v1 · 2011-09-23 · 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{ZQ6K4SKCSSNWX4INMXYEFX4IJY}

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	2026-05-18T02:00:26.257198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3cae4942949b6bf10d65f042df884e1b60b9a9feb62139eb7dc996ac64385b

Aliases

arxiv: 1109.4987 · arxiv_version: 1109.4987v1 · doi: 10.48550/arxiv.1109.4987 · pith_short_12: ZQ6K4SKCSSNW · pith_short_16: ZQ6K4SKCSSNWX4IN · pith_short_8: ZQ6K4SKC

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/ZQ6K4SKCSSNWX4INMXYEFX4IJY \
  | 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: cc3cae4942949b6bf10d65f042df884e1b60b9a9feb62139eb7dc996ac64385b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c509f1c068c7abe5a705571e0549bc540faad9a378e275818780181fcbd43e0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-09-23T01:52:29Z",
    "title_canon_sha256": "dc4fd0eeb316a1f63d76a9a44050bd2c402209105d14d9996606778b7b9498fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4987",
    "kind": "arxiv",
    "version": 1
  }
}