Pith Number

pith:3B5VUDGT

pith:2011:3B5VUDGT2NCNXNUKS2ZZIO7Y35

not attested not anchored not stored refs pending

The Salpeter equation and probability current in the relativistic Hamiltonian quantum mechanics

J. Rembielinski, K. Kowalski

arxiv:1110.5146 v1 · 2011-10-24 · math-ph · hep-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{3B5VUDGT2NCNXNUKS2ZZIO7Y35}

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	2026-05-18T02:00:06.528802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87b5a0cd3d344dbb68a96b3943bf8df4007f0e1292930b8dfabdc86556cd6ab

Aliases

arxiv: 1110.5146 · arxiv_version: 1110.5146v1 · doi: 10.48550/arxiv.1110.5146 · pith_short_12: 3B5VUDGT2NCN · pith_short_16: 3B5VUDGT2NCNXNUK · pith_short_8: 3B5VUDGT

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/3B5VUDGT2NCNXNUKS2ZZIO7Y35 \
  | 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: d87b5a0cd3d344dbb68a96b3943bf8df4007f0e1292930b8dfabdc86556cd6ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5403e0c50c94126715b4d967bed9ffadc9f961fe124f8afeab23454aac734b7",
    "cross_cats_sorted": [
      "hep-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-24T07:31:24Z",
    "title_canon_sha256": "4e527a0433eca922c3e6d10fcd7ca6f330d6e5f844b190f18ee6ebbcb68168ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5146",
    "kind": "arxiv",
    "version": 1
  }
}