Pith Number

pith:22VZ7NBD

pith:2015:22VZ7NBDMOZM3OYSW6VBKUMBVO

not attested not anchored not stored refs pending

Constant-intensity waves and their modulation instability in non-Hermitian potentials

Demetrios N. Christodoulides, Konstantinos G. Makris, Stefan Rotter, Ziad H. Musslimani

arxiv:1503.08986 v1 · 2015-03-31 · physics.optics · nlin.CD · 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{22VZ7NBDMOZM3OYSW6VBKUMBVO}

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	2026-05-18T01:35:59.823515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ab9fb42363b2cdbb12b7aa155181abb984fd39fa0cb0b0095434e36bfc2ec9

Aliases

arxiv: 1503.08986 · arxiv_version: 1503.08986v1 · doi: 10.48550/arxiv.1503.08986 · pith_short_12: 22VZ7NBDMOZM · pith_short_16: 22VZ7NBDMOZM3OYS · pith_short_8: 22VZ7NBD

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/22VZ7NBDMOZM3OYSW6VBKUMBVO \
  | 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: d6ab9fb42363b2cdbb12b7aa155181abb984fd39fa0cb0b0095434e36bfc2ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6881992dbde40e6cbe57c1013dc420fb1e5d74c48e6e7661217efad7eb4c25c9",
    "cross_cats_sorted": [
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-03-31T09:53:08Z",
    "title_canon_sha256": "5418ca9b3c4c88e03dfb7b2817e7cca568034c1068d58e47adb4d0d3b38c0354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08986",
    "kind": "arxiv",
    "version": 1
  }
}