Pith Number

pith:JGKSX6YF

pith:2016:JGKSX6YFZ55O3TP66BYKUCBTJI

not attested not anchored not stored refs pending

Stationary waves on nonlinear quantum graphs II: Application of canonical perturbation theory in basic graph structures

Daniel Waltner, Sven Gnutzmann

arxiv:1609.07348 v2 · 2016-09-23 · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGKSX6YFZ55O3TP66BYKUCBTJI}

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	2026-05-18T00:50:18.918869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49952bfb05cf7aedcdfef070aa08334a0ed819c54068cfe7746ffae15c31da98

Aliases

arxiv: 1609.07348 · arxiv_version: 1609.07348v2 · doi: 10.48550/arxiv.1609.07348 · pith_short_12: JGKSX6YFZ55O · pith_short_16: JGKSX6YFZ55O3TP6 · pith_short_8: JGKSX6YF

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/JGKSX6YFZ55O3TP66BYKUCBTJI \
  | 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: 49952bfb05cf7aedcdfef070aa08334a0ed819c54068cfe7746ffae15c31da98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af62d8bd75e9e85fe1f21d2ac82ef4ff37faefe20f6baca056e30c0d038835ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2016-09-23T13:17:19Z",
    "title_canon_sha256": "bbbdef0090ed4193eb6260f8e5726a194280c4ed7687302b7abda4c5f9d2dcba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07348",
    "kind": "arxiv",
    "version": 2
  }
}