Pith Number

pith:JQGWPSXH

pith:2011:JQGWPSXHH5QGAM2CDBR63F7BAO

not attested not anchored not stored refs pending

On the modified nonlinear Schr\"odinger equation in the semiclassical limit: supersonic, subsonic, and transsonic behavior

Benson K. Muite, Jeffery C. DiFranco, Peter D. Miller

arxiv:1111.1036 v1 · 2011-11-04 · 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{JQGWPSXHH5QGAM2CDBR63F7BAO}

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	2026-05-18T04:09:35.909850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0d67cae73f606033421863ed97e103a12719eea8f59aa170991285216783ac

Aliases

arxiv: 1111.1036 · arxiv_version: 1111.1036v1 · doi: 10.48550/arxiv.1111.1036 · pith_short_12: JQGWPSXHH5QG · pith_short_16: JQGWPSXHH5QGAM2C · pith_short_8: JQGWPSXH

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/JQGWPSXHH5QGAM2CDBR63F7BAO \
  | 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: 4c0d67cae73f606033421863ed97e103a12719eea8f59aa170991285216783ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae45c58aa9d157f92b25f5901d2b7a27e3f0bd1d85bc418c3cfa06b1c3671caf",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-11-04T03:59:05Z",
    "title_canon_sha256": "dfa5a40b5f0e3ad8001fd8f41dfaf7798262eb510568e22c98329a0f6f9ddaa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1036",
    "kind": "arxiv",
    "version": 1
  }
}