Pith Number

pith:4DEOJN75

pith:2016:4DEOJN75TEWSTB3VKCJGXDWMEK

not attested not anchored not stored refs pending

Exact and approximate solutions of Schr\"odinger's equation with hyperbolic double-well potentials

Nasser Saad, Richard L. Hall

arxiv:1607.04172 v1 · 2016-07-14 · 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{4DEOJN75TEWSTB3VKCJGXDWMEK}

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	2026-05-18T01:08:28.504471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c8e4b7fd992d29877550926b8ecc22a01e5de59f488b3d9f3223d70767f3cd

Aliases

arxiv: 1607.04172 · arxiv_version: 1607.04172v1 · doi: 10.48550/arxiv.1607.04172 · pith_short_12: 4DEOJN75TEWS · pith_short_16: 4DEOJN75TEWSTB3V · pith_short_8: 4DEOJN75

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/4DEOJN75TEWSTB3VKCJGXDWMEK \
  | 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: e0c8e4b7fd992d29877550926b8ecc22a01e5de59f488b3d9f3223d70767f3cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32612ead7696915de0d4394eaf1c9784e67f83d6d530fef690d269f2d0c349a8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-14T15:49:21Z",
    "title_canon_sha256": "0fedb69da60745bdad6d6d62ae2f0cd01f65ce4b7d5c7081b22f38bf7305b239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04172",
    "kind": "arxiv",
    "version": 1
  }
}