Pith Number

pith:45ZIR42M

pith:2006:45ZIR42MRLCW7Q73RT6XZLQ5YD

not attested not anchored not stored refs pending

Modulational instability in a layered Kerr medium: Theory and Experiment

Demetri Psaltis, D. J. Frantzeskakis, Martin Centurion, Mason A. Porter, P. G. Kevrekidis, Ye Pu

arxiv:nlin/0607069 v2 · 2006-07-30 · nlin.PS · math.DS · nlin.SI · 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{45ZIR42MRLCW7Q73RT6XZLQ5YD}

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	2026-07-04T17:02:14.213746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77288f34c8ac56fc3fb8cfd7cae1dc0e8d8367a4e6e29acdcc6c1338b8a63bd

Aliases

arxiv: nlin/0607069 · arxiv_version: nlin/0607069v2 · doi: 10.48550/arxiv.nlin/0607069 · pith_short_12: 45ZIR42MRLCW · pith_short_16: 45ZIR42MRLCW7Q73 · pith_short_8: 45ZIR42M

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/45ZIR42MRLCW7Q73RT6XZLQ5YD \
  | 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: e77288f34c8ac56fc3fb8cfd7cae1dc0e8d8367a4e6e29acdcc6c1338b8a63bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6f01b20843a005d94f94f05ca80e0aed443ca6966e7edf2cd4fc0c05b123f9",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.SI",
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "nlin.PS",
    "submitted_at": "2006-07-30T00:48:18Z",
    "title_canon_sha256": "9b35445414ee98c25e4f13d57de03b60fdec68049e14979feca66b30741f4acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0607069",
    "kind": "arxiv",
    "version": 2
  }
}