Pith Number

pith:M6GGMXTE

pith:2015:M6GGMXTEFX2UIOJXDZRVWDID7D

not attested not anchored not stored refs pending

Generalized canonical purification for density matrix minimization

David R. Bowler, Lionel A. Truflandier, Rivo M. Dianzinga

arxiv:1512.07236 v2 · 2015-12-22 · math-ph · math.MP · physics.chem-ph · physics.comp-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{M6GGMXTEFX2UIOJXDZRVWDID7D}

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	2026-05-18T01:18:29.886580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678c665e642df54439371e635b0d03f8c3fd3357864dcc2ff83da5c03548face

Aliases

arxiv: 1512.07236 · arxiv_version: 1512.07236v2 · doi: 10.48550/arxiv.1512.07236 · pith_short_12: M6GGMXTEFX2U · pith_short_16: M6GGMXTEFX2UIOJX · pith_short_8: M6GGMXTE

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/M6GGMXTEFX2UIOJXDZRVWDID7D \
  | 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: 678c665e642df54439371e635b0d03f8c3fd3357864dcc2ff83da5c03548face

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbbfed1cdc95e016fb117d2c22c1224ee28a88c37b5cba73de2a501de16dc158",
    "cross_cats_sorted": [
      "math.MP",
      "physics.chem-ph",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-22T20:36:38Z",
    "title_canon_sha256": "3dcf5b2a2263acbfbcdca85bbe187adfdbe3da310ed6e168970fc1119a432f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07236",
    "kind": "arxiv",
    "version": 2
  }
}