pith. sign in
Pith Number

pith:HOFZUBP5

pith:2005:HOFZUBP5PKMX2XWA7F7LLOQIRS
not attested not anchored not stored refs pending

Spacetime algebra and electron physics

A.D. Challinor, A.N. Lasenby, C.J.L. Doran, S.F. Gull, S. Somaroo

arxiv:quant-ph/0509178 v1 · 2005-09-26 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HOFZUBP5PKMX2XWA7F7LLOQIRS}

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 2026-07-04T14:47:42.326883Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3b8b9a05fd7a997d5ec0f97eb5ba088caec26806daa4115f67cf54d230e09654

Aliases

arxiv: quant-ph/0509178 · arxiv_version: quant-ph/0509178v1 · doi: 10.48550/arxiv.quant-ph/0509178 · pith_short_12: HOFZUBP5PKMX · pith_short_16: HOFZUBP5PKMX2XWA · pith_short_8: HOFZUBP5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HOFZUBP5PKMX2XWA7F7LLOQIRS \
  | 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: 3b8b9a05fd7a997d5ec0f97eb5ba088caec26806daa4115f67cf54d230e09654
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "97b7b5195d56865b8ceba5d6c9b7800c5e502c4ac7ce38c0e74ad549b404a453",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-09-26T11:16:54Z",
    "title_canon_sha256": "b56065dafed17a726c7699f9d885d0f90c825af2fc71399ac0c242496f8edc5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0509178",
    "kind": "arxiv",
    "version": 1
  }
}