Pith Number

pith:RENBEBGT

pith:2015:RENBEBGTY5Z2RDUOWK7RFUJBU4

not attested not anchored not stored refs pending

Localized density matrix minimization and linear scaling algorithms

Jianfeng Lu, Rongjie Lai

arxiv:1506.01610 v1 · 2015-06-03 · math.NA · 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{RENBEBGTY5Z2RDUOWK7RFUJBU4}

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	2026-05-18T01:15:52.855452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

891a1204d3c773a88e8eb2bf12d121a7285ed3b686835fd16240b0e61b12b9ee

Aliases

arxiv: 1506.01610 · arxiv_version: 1506.01610v1 · doi: 10.48550/arxiv.1506.01610 · pith_short_12: RENBEBGTY5Z2 · pith_short_16: RENBEBGTY5Z2RDUO · pith_short_8: RENBEBGT

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/RENBEBGTY5Z2RDUOWK7RFUJBU4 \
  | 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: 891a1204d3c773a88e8eb2bf12d121a7285ed3b686835fd16240b0e61b12b9ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d84a13c49896957b1816fdf8071c246db965fbcc97231cad09017a4bf15e62e8",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-06-03T03:36:43Z",
    "title_canon_sha256": "215b5db6f9167cfabf9ef85523b0c114e1403162bf647f6a356d98f7a6096250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01610",
    "kind": "arxiv",
    "version": 1
  }
}