Pith Number

pith:MMCKGMPF

pith:2011:MMCKGMPFENXWNI6O7RCMDA4W2W

not attested not anchored not stored refs pending

Fast density-matrix based partitioning of the energy over the atoms in a molecule consistent with the Hirshfeld-I partitioning of the electron density

Diederik Vanfleteren, Dieter Ghillemijn, Dimitri Van Neck, Michel Waroquier, Patrick Bultinck, Paul W. Ayers

arxiv:1111.0896 v1 · 2011-11-03 · physics.chem-ph · physics.comp-ph · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMCKGMPFENXWNI6O7RCMDA4W2W}

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	2026-05-18T04:09:36.700076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6304a331e5236f66a3cefc44c18396d586f99b135d55287f72e42378d77bf1cb

Aliases

arxiv: 1111.0896 · arxiv_version: 1111.0896v1 · doi: 10.48550/arxiv.1111.0896 · pith_short_12: MMCKGMPFENXW · pith_short_16: MMCKGMPFENXWNI6O · pith_short_8: MMCKGMPF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MMCKGMPFENXWNI6O7RCMDA4W2W \
  | 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: 6304a331e5236f66a3cefc44c18396d586f99b135d55287f72e42378d77bf1cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50d69c624c43ba95ed093d15b51e2c1598e4a399d5cb78a827e9c82bf66b29c0",
    "cross_cats_sorted": [
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2011-11-03T16:03:39Z",
    "title_canon_sha256": "220bf5ac1ee4b5b66ca12922ba759f2d1722c7100ff5b9ea6e15769f7673b8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0896",
    "kind": "arxiv",
    "version": 1
  }
}