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Pith Number

pith:2U65JJRY

pith:2006:2U65JJRYBHGVRNFLLG6NNWR5AT
not attested not anchored not stored refs pending

Closed form representation for a projection onto infinitely dimensional subspace spanned by Coulomb bound states

O.M. Deryuzhkova, S.B. Levin, S.L. Yakovlev

arxiv:physics/0608245 v1 · 2006-08-24 · physics.atom-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2U65JJRYBHGVRNFLLG6NNWR5AT}

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 2026-05-18T04:22:32.108764Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d53dd4a63809cd58b4ab59bcd6da3d04fa4cc4ada80f355781664be3492e7fd9

Aliases

arxiv: physics/0608245 · arxiv_version: physics/0608245v1 · doi: 10.48550/arxiv.physics/0608245 · pith_short_12: 2U65JJRYBHGV · pith_short_16: 2U65JJRYBHGVRNFL · pith_short_8: 2U65JJRY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2U65JJRYBHGVRNFLLG6NNWR5AT \
  | 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: d53dd4a63809cd58b4ab59bcd6da3d04fa4cc4ada80f355781664be3492e7fd9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "10f38464ba7ef3f0e0315d2feaf05ebb153ac63e9c7123906c42e6ed5089251a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2006-08-24T23:04:24Z",
    "title_canon_sha256": "96014b227d5dfa929be9265567725d32764da2f389abc2dc73e8ca7fd5443652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0608245",
    "kind": "arxiv",
    "version": 1
  }
}