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Pith Number

pith:NORC6U4P

pith:2007:NORC6U4PXWDGLYYOR3PFT4SX6B
not attested not anchored not stored refs pending

Short-time dynamics in presence of wave-particles interactions: a perturbative approach

Duccio Fanelli, Romain Bachelard

arxiv:0707.1650 v1 · 2007-07-11 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NORC6U4PXWDGLYYOR3PFT4SX6B}

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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.
Receipt and verification
First computed 2026-05-18T02:20:11.326734Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6ba22f538fbd8665e30e8ede59f257f04f58a07f1783344598cc7cdbdaca11ec

Aliases

arxiv: 0707.1650 · arxiv_version: 0707.1650v1 · doi: 10.48550/arxiv.0707.1650 · pith_short_12: NORC6U4PXWDG · pith_short_16: NORC6U4PXWDGLYYO · pith_short_8: NORC6U4P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NORC6U4PXWDGLYYOR3PFT4SX6B \
  | 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: 6ba22f538fbd8665e30e8ede59f257f04f58a07f1783344598cc7cdbdaca11ec
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b493c6e25a6e470ce57f51af84b8810330adcce56052bf1d5dffb33f1776258f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-07-11T16:08:08Z",
    "title_canon_sha256": "252eae71819ca52d25bebe6c5240a0cc2372dc59836d059d9977e5da616b3827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1650",
    "kind": "arxiv",
    "version": 1
  }
}