Pith Number

pith:ZR7YZAKV

pith:2010:ZR7YZAKVO2ULSLIONLBRNQGX54

not attested not anchored not stored refs pending

Galoisian Approach to integrability of Schr\"odinger Equation

Jacques-Arthur Weil, Juan J. Morales-Ruiz, Primitivo B. Acosta-Hum\'anez

arxiv:1008.3445 v2 · 2010-08-20 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZR7YZAKVO2ULSLIONLBRNQGX54}

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	2026-05-18T04:34:01.306846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc7f8c815576a8b92d0e6ac316c0d7ef2b772889c7df22b5a6d293faf4642d00

Aliases

arxiv: 1008.3445 · arxiv_version: 1008.3445v2 · doi: 10.48550/arxiv.1008.3445 · pith_short_12: ZR7YZAKVO2UL · pith_short_16: ZR7YZAKVO2ULSLIO · pith_short_8: ZR7YZAKV

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/ZR7YZAKVO2ULSLIONLBRNQGX54 \
  | 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: cc7f8c815576a8b92d0e6ac316c0d7ef2b772889c7df22b5a6d293faf4642d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a867f6e22a1f8c26ffc0f4f5a391f99fa0f8344e6aa96de2b30e86ad3b841f49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-20T07:12:51Z",
    "title_canon_sha256": "8286a33a8e438007fb64afc099fa9716a464d786a15edbba5d607c939230ae73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3445",
    "kind": "arxiv",
    "version": 2
  }
}