Pith Number

pith:J2SGJDG3

pith:2018:J2SGJDG324ID2RKPZD7TXF36Z2

not attested not anchored not stored refs pending

Relating the pure and ensemble density matrix functional

Christian Schilling

arxiv:1812.09291 v1 · 2018-12-21 · quant-ph · math-ph · math.MP · physics.chem-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{J2SGJDG324ID2RKPZD7TXF36Z2}

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	2026-05-17T23:57:44.864376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ea4648cdbd7103d454fc8ff3b977eceaeb230deb9f8e7e18029c7db9970c30d

Aliases

arxiv: 1812.09291 · arxiv_version: 1812.09291v1 · doi: 10.48550/arxiv.1812.09291 · pith_short_12: J2SGJDG324ID · pith_short_16: J2SGJDG324ID2RKP · pith_short_8: J2SGJDG3

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/J2SGJDG324ID2RKPZD7TXF36Z2 \
  | 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: 4ea4648cdbd7103d454fc8ff3b977eceaeb230deb9f8e7e18029c7db9970c30d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a6dec6e9b5c9ea8cf59e2442640f8f0ffae3f7be9224676f04be557c1809ee7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-12-21T18:02:43Z",
    "title_canon_sha256": "2942579b5b488cf2d8d4dd90d285d96a2a3b7bc7b7cc06f28b8714f845e611f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09291",
    "kind": "arxiv",
    "version": 1
  }
}