Pith Number

pith:5F4MC4XN

pith:1999:5F4MC4XNL6YBXQVLPSHLZILIZN

not attested not anchored not stored refs pending

Semiclassical solutions of the nonlinear Schr\"odinger equation

Alexander Shapovalov, A. Yu. Trifonov

arxiv:math/9904189 v1 · 1999-04-01 · 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{5F4MC4XNL6YBXQVLPSHLZILIZN}

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	2026-05-18T01:38:22.563993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e978c172ed5fb01bc2ab7c8ebca168cb5d4f06d7b18dd693d00c29f9232129d1

Aliases

arxiv: math/9904189 · arxiv_version: math/9904189v1 · doi: 10.48550/arxiv.math/9904189 · pith_short_12: 5F4MC4XNL6YB · pith_short_16: 5F4MC4XNL6YBXQVL · pith_short_8: 5F4MC4XN

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/5F4MC4XNL6YBXQVLPSHLZILIZN \
  | 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: e978c172ed5fb01bc2ab7c8ebca168cb5d4f06d7b18dd693d00c29f9232129d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3375e5d94c584738c500df985d0ab0541d048c558870f9e93df6dd370a90e948",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "1999-04-01T00:00:00Z",
    "title_canon_sha256": "e929756782f4f4e4c85a34e7fbfc651ecd4c6d3bd8e6d12b3cbd42dbb9f08726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9904189",
    "kind": "arxiv",
    "version": 1
  }
}