Pith Number

pith:HJ7W5G5R

pith:1998:HJ7W5G5RWTSM7XWU4VMZ62ORNN

not attested not anchored not stored refs pending

Symmetry of the Schr\"odinger equation with variable potential

Ivan Tsyfra, Wilhelm Fushchych, Zoya Symenoh

arxiv:math-ph/9801201 v1 · 1998-01-01 · 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{HJ7W5G5RWTSM7XWU4VMZ62ORNN}

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	2026-05-18T01:38:30.846914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7f6e9bb1b4e4cfded4e5599f69d16b71b5027290905bab760d7bba77e28b1d

Aliases

arxiv: math-ph/9801201 · arxiv_version: math-ph/9801201v1 · doi: 10.48550/arxiv.math-ph/9801201 · pith_short_12: HJ7W5G5RWTSM · pith_short_16: HJ7W5G5RWTSM7XWU · pith_short_8: HJ7W5G5R

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/HJ7W5G5RWTSM7XWU4VMZ62ORNN \
  | 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: 3a7f6e9bb1b4e4cfded4e5599f69d16b71b5027290905bab760d7bba77e28b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a01a66dd80cc898cfe3e7a382570a406465e24d5b8dd1f28f19bbfa5cb8d7350",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-01-01T00:00:00Z",
    "title_canon_sha256": "46ebf346c3bf2f63340f86cd2668c8ba0f55f21a85f0c0136c79c660563d2c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9801201",
    "kind": "arxiv",
    "version": 1
  }
}