Pith Number

pith:H65Y6VRL

pith:2015:H65Y6VRLCKTZ3SRHUZLUOKFIFB

not attested not anchored not stored refs pending

Topological states in partially-PT-symmetric azimuthal potentials

Lluis Torner, Vladimir V. Konotop, Yaroslav V. Kartashov

arxiv:1509.06551 v1 · 2015-09-22 · physics.optics · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H65Y6VRLCKTZ3SRHUZLUOKFIFB}

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	2026-05-18T01:21:11.390208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fbb8f562b12a79dca27a6574728a8287d08ea117e77bb7311611893e20159eb

Aliases

arxiv: 1509.06551 · arxiv_version: 1509.06551v1 · doi: 10.48550/arxiv.1509.06551 · pith_short_12: H65Y6VRLCKTZ · pith_short_16: H65Y6VRLCKTZ3SRH · pith_short_8: H65Y6VRL

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/H65Y6VRLCKTZ3SRHUZLUOKFIFB \
  | 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: 3fbb8f562b12a79dca27a6574728a8287d08ea117e77bb7311611893e20159eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "769cf660f9bc8ecd188b709fbf3ac9818962dfb58aef6066ada1cad184891b8c",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-09-22T11:28:05Z",
    "title_canon_sha256": "233b3269ded3e16587dac1d662e7fa1e5a7fae51658d7aea9ee1210937161675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06551",
    "kind": "arxiv",
    "version": 1
  }
}