Pith Number

pith:UPY3VJMX

pith:2010:UPY3VJMXUVG4BLN4OGWVBUTAP3

not attested not anchored not stored refs pending

Ermakov equations in quantum mechanics

R. Tsekov

arxiv:1002.2545 v6 · 2010-02-12 · quant-ph · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPY3VJMXUVG4BLN4OGWVBUTAP3}

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	2026-05-18T04:04:28.630340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f1baa597a54dc0adbc71ad50d2607eec790b049b9de39623b0d6e39d320f23

Aliases

arxiv: 1002.2545 · arxiv_version: 1002.2545v6 · doi: 10.48550/arxiv.1002.2545 · pith_short_12: UPY3VJMXUVG4 · pith_short_16: UPY3VJMXUVG4BLN4 · pith_short_8: UPY3VJMX

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/UPY3VJMXUVG4BLN4OGWVBUTAP3 \
  | 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: a3f1baa597a54dc0adbc71ad50d2607eec790b049b9de39623b0d6e39d320f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384b13572188e72107363baa78f9930475bce7228d9b24e30eb5bcf1f6b0025e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-02-12T13:38:23Z",
    "title_canon_sha256": "f0b7904492b2ea7f66dde44995a54032d40a98dadc29574f4a740dcb235ff54e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2545",
    "kind": "arxiv",
    "version": 6
  }
}