Pith Number

pith:W2NIAJG4

pith:2015:W2NIAJG4X54SKPL6KI6DUJYUOY

not attested not anchored not stored refs pending

Existence and Stability Properties of Radial Bound States for Schr\"odinger-Poisson with an External Coulomb Potential in Three Space Dimensions

Gideon Simpson, Jeremy L. Marzuola, Sarah Raynor

arxiv:1512.03665 v4 · 2015-12-11 · math.AP · math-ph · math.MP · 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{W2NIAJG4X54SKPL6KI6DUJYUOY}

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	2026-05-18T01:04:50.293003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69a8024dcbf79253d7e523c3a27147608502cf20fd7a57ccd1f2fdc93c7db3b

Aliases

arxiv: 1512.03665 · arxiv_version: 1512.03665v4 · doi: 10.48550/arxiv.1512.03665 · pith_short_12: W2NIAJG4X54S · pith_short_16: W2NIAJG4X54SKPL6 · pith_short_8: W2NIAJG4

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/W2NIAJG4X54SKPL6KI6DUJYUOY \
  | 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: b69a8024dcbf79253d7e523c3a27147608502cf20fd7a57ccd1f2fdc93c7db3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f9b2835448e0d9cbe4ba041e48f882ae47007ef9f8e4ae22cdef3bd8191923",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-11T15:01:04Z",
    "title_canon_sha256": "617069f34ff3c4d7d903657032930217a73c8da7475b2ee173bf7692e497c144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03665",
    "kind": "arxiv",
    "version": 4
  }
}