pith. sign in
Pith Number

pith:PLA3YL7R

pith:2006:PLA3YL7R24O4S6LRLF6EDGMF2G
not attested not anchored not stored refs pending

Free Dirac evolution as a quantum random walk

A.J. Bracken, D. Ellinas, I. Smyrnakis

arxiv:quant-ph/0605195 v1 · 2006-05-23 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PLA3YL7R24O4S6LRLF6EDGMF2G}

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 2026-05-18T01:37:56.622385Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ac1bc2ff1d71dc97971597c419985d1a68399fa6c3f38718cf4690b2d4aca67

Aliases

arxiv: quant-ph/0605195 · arxiv_version: quant-ph/0605195v1 · doi: 10.48550/arxiv.quant-ph/0605195 · pith_short_12: PLA3YL7R24O4 · pith_short_16: PLA3YL7R24O4S6LR · pith_short_8: PLA3YL7R
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PLA3YL7R24O4S6LRLF6EDGMF2G \
  | 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: 7ac1bc2ff1d71dc97971597c419985d1a68399fa6c3f38718cf4690b2d4aca67
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2c8ab59f4076bf3ddb4698920acd5cb5af3835131f23dbe5a730f93b70831963",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-05-23T00:42:05Z",
    "title_canon_sha256": "9afaeba8c67ec6adb4f545b89e9eae94c2737cb8014fe36c9b481f48bb34397c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0605195",
    "kind": "arxiv",
    "version": 1
  }
}