Pith Number

pith:LOHLEYJZ

pith:2026:LOHLEYJZW2V6MOLIE2Y6YFMD67

not attested not anchored not stored refs pending

Multiplicity and Nonrelativistic limit of Bound States of Nonlinear Dirac Equations on Noncompact Metric Graphs with Localized Nonlinearities

Pan Chen, Qi Guo

arxiv:2606.29514 v1 · 2026-06-28 · 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{LOHLEYJZW2V6MOLIE2Y6YFMD67}

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	2026-06-30T01:18:09.869069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b8eb26139b6abe6396826b1ec1583f7fd63aeb95c0dfc5a1184596d2ca5b91e

Aliases

arxiv: 2606.29514 · arxiv_version: 2606.29514v1 · doi: 10.48550/arxiv.2606.29514 · pith_short_12: LOHLEYJZW2V6 · pith_short_16: LOHLEYJZW2V6MOLI · pith_short_8: LOHLEYJZ

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/LOHLEYJZW2V6MOLIE2Y6YFMD67 \
  | 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: 5b8eb26139b6abe6396826b1ec1583f7fd63aeb95c0dfc5a1184596d2ca5b91e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f6971292ebe7de3eacc34575282ae98ab7b3bef6cb6b74486ede505109a9da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-28T17:24:28Z",
    "title_canon_sha256": "1eebcd66eb6b3a180632747fd6bf226ff8d9cb72af0fd5bac6b28aafa9708f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29514",
    "kind": "arxiv",
    "version": 1
  }
}