Pith Number

pith:AB443NDI

pith:2012:AB443NDIGZ7GVKKHLKTJSLHTPD

not attested not anchored not stored refs pending

The Schr\"odinger equation and its generalized analogs derived by the quantum hydrodynamic representation

Piero Chiarelli

arxiv:1210.1138 v7 · 2012-10-03 · 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{AB443NDIGZ7GVKKHLKTJSLHTPD}

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	2026-05-18T03:33:37.474770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0079cdb468367e6aa9475aa6992cf378dd769feec99d1b503d8a969a3aefa004

Aliases

arxiv: 1210.1138 · arxiv_version: 1210.1138v7 · doi: 10.48550/arxiv.1210.1138 · pith_short_12: AB443NDIGZ7G · pith_short_16: AB443NDIGZ7GVKKH · pith_short_8: AB443NDI

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/AB443NDIGZ7GVKKHLKTJSLHTPD \
  | 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: 0079cdb468367e6aa9475aa6992cf378dd769feec99d1b503d8a969a3aefa004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c5e889d939a0fe6108e4f85951e7a64c24614f4d30ccc0f90194755b285f5fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-03T14:59:32Z",
    "title_canon_sha256": "be2ba14c74bebf9bcf6f8d2d89a214c46b2944dad1efecdfb345fa6f759c79d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1138",
    "kind": "arxiv",
    "version": 7
  }
}