Pith Number

pith:SXGCKZAF

pith:2023:SXGCKZAFTGSN7XHTF7IRSPEICR

not attested not anchored not stored refs pending

On the complex solution of the Schr\"odinger equation with exponential potentials

Javier Garcia

arxiv:2309.06605 v1 · 2023-09-12 · 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{SXGCKZAFTGSN7XHTF7IRSPEICR}

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	2026-07-05T06:50:20.210452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95cc25640599a4dfdcf32fd1193c881440c5c404e8933d6c38a6619776427d90

Aliases

arxiv: 2309.06605 · arxiv_version: 2309.06605v1 · doi: 10.48550/arxiv.2309.06605 · pith_short_12: SXGCKZAFTGSN · pith_short_16: SXGCKZAFTGSN7XHT · pith_short_8: SXGCKZAF

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/SXGCKZAFTGSN7XHTF7IRSPEICR \
  | 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: 95cc25640599a4dfdcf32fd1193c881440c5c404e8933d6c38a6619776427d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e9cfb679c9f9dc5749c88f1e399219534bda0aeec81702c12e2101b4c01418",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-09-12T21:10:02Z",
    "title_canon_sha256": "35e4ce3d2da823ee25aa83960d1919a3d69ee8ebd826db6ec3a74453acd1d94f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.06605",
    "kind": "arxiv",
    "version": 1
  }
}