Pith Number

pith:DE5SLPE7

pith:2011:DE5SLPE7BD2F5OQXKOC6PJML24

not attested not anchored not stored refs pending

Perturbation Theory for PT-Symmetric Sinusoidal Optical Lattices at the Symmetry-Breaking Threshold

H. F. Jones

arxiv:1106.1855 v2 · 2011-06-09 · 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{DE5SLPE7BD2F5OQXKOC6PJML24}

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	2026-05-18T04:18:54.259243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193b25bc9f08f45eba175385e7a58bd72301dad03ffd07f4b944a3e487988be6

Aliases

arxiv: 1106.1855 · arxiv_version: 1106.1855v2 · doi: 10.48550/arxiv.1106.1855 · pith_short_12: DE5SLPE7BD2F · pith_short_16: DE5SLPE7BD2F5OQX · pith_short_8: DE5SLPE7

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/DE5SLPE7BD2F5OQXKOC6PJML24 \
  | 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: 193b25bc9f08f45eba175385e7a58bd72301dad03ffd07f4b944a3e487988be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56901312a6dfec12576848dba97bdd207ff4d8ba8f1cec413becdc6c40625d76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-06-09T16:52:58Z",
    "title_canon_sha256": "ee70c4eb0caf6161555b10814c7be1fe93552a98879edc979844d328e1ea268d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1855",
    "kind": "arxiv",
    "version": 2
  }
}