Pith Number

pith:FQOCVC3R

pith:2011:FQOCVC3RR4SVAQOHX5YQM3A5AC

not attested not anchored not stored refs pending

Density functional theory and optimal transportation with Coulomb cost

Claudia Kl\"uppelberg, Codina Cotar, Gero Friesecke

arxiv:1104.0603 v1 · 2011-04-04 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQOCVC3RR4SVAQOHX5YQM3A5AC}

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	2026-05-18T02:22:11.164540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c1c2a8b718f255041c7bf71066c1d00a6e0f44f4262e38b030c45fbbc04c9de

Aliases

arxiv: 1104.0603 · arxiv_version: 1104.0603v1 · doi: 10.48550/arxiv.1104.0603 · pith_short_12: FQOCVC3RR4SV · pith_short_16: FQOCVC3RR4SVAQOH · pith_short_8: FQOCVC3R

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/FQOCVC3RR4SVAQOHX5YQM3A5AC \
  | 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: 2c1c2a8b718f255041c7bf71066c1d00a6e0f44f4262e38b030c45fbbc04c9de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b21ea4c74ff70559acdf7c8dfe62359f28dbf8b7211856026c7f18002cc25b39",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-04T15:44:06Z",
    "title_canon_sha256": "8d8c3a2089b6dfbf9b828990086376e464fc47a1878cc22a93160be66cea6ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0603",
    "kind": "arxiv",
    "version": 1
  }
}