Pith Number

pith:N5P36CNI

pith:2013:N5P36CNIFAGFDKAIRGRROPX2LV

not attested not anchored not stored refs pending

N-density representability and the optimal transport limit of the Hohenberg-Kohn functional

Brendan Pass, Christian B. Mendl, Claudia Kl\"uppelberg, Codina Cotar, Gero Friesecke

arxiv:1304.0679 v1 · 2013-04-02 · 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{N5P36CNIFAGFDKAIRGRROPX2LV}

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	2026-05-18T03:09:12.487958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5fbf09a8280c51a80889a3173efa5d43cf3ed2caadd64f5a8ce265aea828dc

Aliases

arxiv: 1304.0679 · arxiv_version: 1304.0679v1 · doi: 10.48550/arxiv.1304.0679 · pith_short_12: N5P36CNIFAGF · pith_short_16: N5P36CNIFAGFDKAI · pith_short_8: N5P36CNI

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/N5P36CNIFAGFDKAIRGRROPX2LV \
  | 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: 6f5fbf09a8280c51a80889a3173efa5d43cf3ed2caadd64f5a8ce265aea828dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ba3eb83c2312081781f08cab0ada0f46fbd9e5d744f29eded2edfc1703d921",
    "cross_cats_sorted": [
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2013-04-02T16:15:41Z",
    "title_canon_sha256": "5a5e5bbed70cb873beeee9ec78ada8153436c2911ea4a44561f845165edd5124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0679",
    "kind": "arxiv",
    "version": 1
  }
}