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Pith Number

pith:5K4UPIZR

pith:2007:5K4UPIZRFDX7AVKNM3W3UBIIAZ
not attested not anchored not stored refs pending

Boundary conditions: The path integral approach

J. Clemente-Gallardo, J.M. Munoz-Castaneda, M. Asorey

arxiv:0712.4353 v1 · 2007-12-28 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5K4UPIZRFDX7AVKNM3W3UBIIAZ}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-04T15:28:06.130826Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eab947a33128eff0554d66edba0508064f1929c97b97d5264660dabcaa641a24

Aliases

arxiv: 0712.4353 · arxiv_version: 0712.4353v1 · doi: 10.48550/arxiv.0712.4353 · pith_short_12: 5K4UPIZRFDX7 · pith_short_16: 5K4UPIZRFDX7AVKN · pith_short_8: 5K4UPIZR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5K4UPIZRFDX7AVKNM3W3UBIIAZ \
  | 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: eab947a33128eff0554d66edba0508064f1929c97b97d5264660dabcaa641a24
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "03ba93f92e58832a60159feeefa11dd94207f55a35a26c4236967f77119dba95",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-12-28T13:52:23Z",
    "title_canon_sha256": "49b4284bbdc324560340de4c38e0a4688bb2e8ed4f546a1417aa67cc699670be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.4353",
    "kind": "arxiv",
    "version": 1
  }
}