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Pith Number

pith:GAN5GVDE

pith:2011:GAN5GVDEN4CZD3HH7SCUJFW7TN
not attested not anchored not stored refs pending

Quantum vortices and trajectories in particle diffraction

C. Efthymiopoulos, G. Contopoulos, N. Delis

arxiv:1103.2621 v1 · 2011-03-14 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GAN5GVDEN4CZD3HH7SCUJFW7TN}

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 2026-05-18T00:54:42.112521Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

301bd354646f0591ece7fc854496df9b4b73363a84a40b8faf3e93ff7ea4ad56

Aliases

arxiv: 1103.2621 · arxiv_version: 1103.2621v1 · doi: 10.48550/arxiv.1103.2621 · pith_short_12: GAN5GVDEN4CZ · pith_short_16: GAN5GVDEN4CZD3HH · pith_short_8: GAN5GVDE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GAN5GVDEN4CZD3HH7SCUJFW7TN \
  | 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: 301bd354646f0591ece7fc854496df9b4b73363a84a40b8faf3e93ff7ea4ad56
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "67677a7012990b4a79b4228d4fcddf764b3f51c332da516d670902ad48967374",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-14T10:39:58Z",
    "title_canon_sha256": "01313f6bbefc99798c30a594ab1eca431df05d5dc3592f5bb227a76ef7b9d318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2621",
    "kind": "arxiv",
    "version": 1
  }
}