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Pith Number

pith:PDFTRGJS

pith:1993:PDFTRGJSJIN2BDUDQPTBMMLIYH
not attested not anchored not stored refs pending

Quantum theory of large amplitude collective motion and the Born-Oppenheimer method

Abraham Klein, Niels R. Walet

arxiv:nucl-th/9303017 v1 · 1993-03-20 · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PDFTRGJSJIN2BDUDQPTBMMLIYH}

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 2026-07-04T15:23:59.463221Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

78cb3899324a1ba08e8383e6163168c1e81733b65b55240f3bff610ced1610b9

Aliases

arxiv: nucl-th/9303017 · arxiv_version: nucl-th/9303017v1 · doi: 10.48550/arxiv.nucl-th/9303017 · pith_short_12: PDFTRGJSJIN2 · pith_short_16: PDFTRGJSJIN2BDUD · pith_short_8: PDFTRGJS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PDFTRGJSJIN2BDUDQPTBMMLIYH \
  | 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: 78cb3899324a1ba08e8383e6163168c1e81733b65b55240f3bff610ced1610b9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0a1b49ec38f9323c459a3075820882a3f5240852f44e81c215d0d363975e7243",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "1993-03-20T16:09:06Z",
    "title_canon_sha256": "a731ab2dedbcf788b6d28f9dc0a3cc5fefa7e16af22210a0b4ae2f9d0123ce1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/9303017",
    "kind": "arxiv",
    "version": 1
  }
}