Pith Number

pith:KIUNABVZ

pith:2017:KIUNABVZUYEMWBUIATHP4NQSGN

not attested not anchored not stored refs pending

Symmetric Laplacians, Quantum Density Matrices and their Von-Neumann Entropy

Animesh Datta, David E. Simmons, Justin P. Coon

arxiv:1703.01142 v2 · 2017-03-03 · cs.IT · math.IT · 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{KIUNABVZUYEMWBUIATHP4NQSGN}

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	2026-05-18T00:49:20.857868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5228d006b9a608cb068804cefe36123359dfaee50c85d5f80d71cf5581a56e57

Aliases

arxiv: 1703.01142 · arxiv_version: 1703.01142v2 · doi: 10.48550/arxiv.1703.01142 · pith_short_12: KIUNABVZUYEM · pith_short_16: KIUNABVZUYEMWBUI · pith_short_8: KIUNABVZ

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/KIUNABVZUYEMWBUIATHP4NQSGN \
  | 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: 5228d006b9a608cb068804cefe36123359dfaee50c85d5f80d71cf5581a56e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073cc8bb004047ad5139c09e4d1ee92ce5f14bcfdc1e1ceabb9bf581694cfecd",
    "cross_cats_sorted": [
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-03-03T13:03:47Z",
    "title_canon_sha256": "250b81ae15d18031699e05fcb8ba40e8f7f59de1d67ac9075b096e775d0b873d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01142",
    "kind": "arxiv",
    "version": 2
  }
}