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Pith Number

pith:XRVAOG24

pith:2011:XRVAOG24E3W5ZOZJXT2YVICTXT
not attested not anchored not stored refs pending

Density Functional Theory for Fractional Particle Number: Derivative Discontinuity of the Energy at the Maximum Number of Bound Electrons

Adam Wasserman, Daniel L. Whitenack, Yu Zhang

arxiv:1111.1934 v1 · 2011-11-08 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XRVAOG24E3W5ZOZJXT2YVICTXT}

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 2026-05-18T04:09:24.376104Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bc6a071b5c26eddcbb29bcf58aa053bcce3e4c038c5036be1647314bd073e25f

Aliases

arxiv: 1111.1934 · arxiv_version: 1111.1934v1 · doi: 10.48550/arxiv.1111.1934 · pith_short_12: XRVAOG24E3W5 · pith_short_16: XRVAOG24E3W5ZOZJ · pith_short_8: XRVAOG24
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XRVAOG24E3W5ZOZJXT2YVICTXT \
  | 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: bc6a071b5c26eddcbb29bcf58aa053bcce3e4c038c5036be1647314bd073e25f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "809d2af6e2807138fc0beee48b9aafb8b464db83afeea45659f28f0b62112aad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-08T15:22:38Z",
    "title_canon_sha256": "8dc35bf004f5628111aa2ed92fbcad2641f6ffb7b087c3a80b5e141d0c0332de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1934",
    "kind": "arxiv",
    "version": 1
  }
}