Pith Number

pith:WOA5O3UP

pith:2011:WOA5O3UPUC6V2JZDJMPGHSUIQN

not attested not anchored not stored refs pending

Stability of periodic traveling waves for the quadratic and cubic nonlinear Schr\"odinger equations

Iliya D. Iliev, Kiril Kirchev, Sevdzhan Hakkaev

arxiv:1112.4080 v1 · 2011-12-17 · nlin.SI · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOA5O3UPUC6V2JZDJMPGHSUIQN}

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	2026-05-18T04:06:07.047373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b381d76e8fa0bd5d27234b1e63ca88837a58eeda250fa62507b39eb3d0a78880

Aliases

arxiv: 1112.4080 · arxiv_version: 1112.4080v1 · doi: 10.48550/arxiv.1112.4080 · pith_short_12: WOA5O3UPUC6V · pith_short_16: WOA5O3UPUC6V2JZD · pith_short_8: WOA5O3UP

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/WOA5O3UPUC6V2JZDJMPGHSUIQN \
  | 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: b381d76e8fa0bd5d27234b1e63ca88837a58eeda250fa62507b39eb3d0a78880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e85db3ef1296d12a57734a7430d8adf8f61aef02af004b9d4a82e2cd8a0c7202",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-12-17T19:51:19Z",
    "title_canon_sha256": "8399065947c15b3fd182216db5be18e57fab4bb4be05209a0e8d0b0f311903da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4080",
    "kind": "arxiv",
    "version": 1
  }
}