pith. sign in
Pith Number

pith:KV7D3H22

pith:2011:KV7D3H22VTLLUGXW2COYDD2IXF
not attested not anchored not stored refs pending

Salpeter equation and causality

Piotr Kosinski

arxiv:1112.5321 v1 · 2011-12-22 · math-ph · hep-th · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KV7D3H22VTLLUGXW2COYDD2IXF}

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 2026-05-18T00:51:52.714024Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

557e3d9f5aacd6ba1af6d09d818f48b956754b5fe66825c534e27811516fa44d

Aliases

arxiv: 1112.5321 · arxiv_version: 1112.5321v1 · doi: 10.48550/arxiv.1112.5321 · pith_short_12: KV7D3H22VTLL · pith_short_16: KV7D3H22VTLLUGXW · pith_short_8: KV7D3H22
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KV7D3H22VTLLUGXW2COYDD2IXF \
  | 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: 557e3d9f5aacd6ba1af6d09d818f48b956754b5fe66825c534e27811516fa44d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8a5010de990f90e7962251086b548ccf0e0b4ab56a735c18d3bbf3e231a39ab7",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-22T14:15:12Z",
    "title_canon_sha256": "331dbb31ff84760e835cf7d5c284a87b15effdcd1837f7152d3f4e28820c146a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5321",
    "kind": "arxiv",
    "version": 1
  }
}