Pith Number

pith:5CA4M72H

pith:2025:5CA4M72HXQZN6AGC6ODVF2DWW7

not attested not anchored not stored refs pending

Ground states of the planar nonlinear Schr\"odinger--Newton system with a point interaction

Gustavo de Paula Ramos

arxiv:2506.18202 v1 · 2025-06-22 · 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{5CA4M72HXQZN6AGC6ODVF2DWW7}

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	2026-05-25T02:01:04.952516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e881c67f47bc32df00c2f38752e876b7eb7a52cd79591b69eac17d9a39cf5cf0

Aliases

arxiv: 2506.18202 · arxiv_version: 2506.18202v1 · doi: 10.48550/arxiv.2506.18202 · pith_short_12: 5CA4M72HXQZN · pith_short_16: 5CA4M72HXQZN6AGC · pith_short_8: 5CA4M72H

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/5CA4M72HXQZN6AGC6ODVF2DWW7 \
  | 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: e881c67f47bc32df00c2f38752e876b7eb7a52cd79591b69eac17d9a39cf5cf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8dd6eeb348754fc0b2f32665f969b3ac636ededec3b6357a929463a4c06c012",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-22T23:36:43Z",
    "title_canon_sha256": "43e427081d67de1d7ac08925049a916043ac114db64fb9b3d6c1fd154f8f7875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18202",
    "kind": "arxiv",
    "version": 1
  }
}