Pith Number

pith:3IF5NHZY

pith:2015:3IF5NHZYRRG5XPDJ2MDEU3U6RD

not attested not anchored not stored refs pending

From the hypergeometric differential equation to a non linear Schr\"odinger one

A. Plastino, M. C. Rocca

arxiv:1505.01334 v2 · 2015-05-06 · quant-ph · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IF5NHZYRRG5XPDJ2MDEU3U6RD}

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	2026-05-18T01:26:42.892220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0bd69f388c4ddbbc69d3064a6e9e88ff0b2a9a9255cd8403226516a5856e3d

Aliases

arxiv: 1505.01334 · arxiv_version: 1505.01334v2 · doi: 10.48550/arxiv.1505.01334 · pith_short_12: 3IF5NHZYRRG5 · pith_short_16: 3IF5NHZYRRG5XPDJ · pith_short_8: 3IF5NHZY

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/3IF5NHZYRRG5XPDJ2MDEU3U6RD \
  | 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: da0bd69f388c4ddbbc69d3064a6e9e88ff0b2a9a9255cd8403226516a5856e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d63d0e6c21000f6962db462ba08702d5b07d5bad8a4bb3fdebe1d656c9cd2fb8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-05-06T12:11:40Z",
    "title_canon_sha256": "09e970b8d07f267bb606f1d7bd52c6160925e1a505376b193ddadba822d449d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01334",
    "kind": "arxiv",
    "version": 2
  }
}