Pith Number

pith:NAJBWBEM

pith:2015:NAJBWBEMBVRCJN6XHIXXWN6UXO

not attested not anchored not stored refs pending

Time Averaged Density Matrix as an Optimization Problem

Volckmar Nebendahl

arxiv:1503.01658 v1 · 2015-03-05 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAJBWBEMBVRCJN6XHIXXWN6UXO}

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	2026-05-18T02:25:33.178696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68121b048c0d6224b7d73a2f7b37d4bb99616ee59bbf01a62ca250e6ec799600

Aliases

arxiv: 1503.01658 · arxiv_version: 1503.01658v1 · doi: 10.48550/arxiv.1503.01658 · pith_short_12: NAJBWBEMBVRC · pith_short_16: NAJBWBEMBVRCJN6X · pith_short_8: NAJBWBEM

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/NAJBWBEMBVRCJN6XHIXXWN6UXO \
  | 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: 68121b048c0d6224b7d73a2f7b37d4bb99616ee59bbf01a62ca250e6ec799600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1519fa873cd83814a01f847e423008be9266ff8fdd0f38eb12287984dd8af7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-03-05T15:17:01Z",
    "title_canon_sha256": "36253a7aa757302a06ab533a8937c7fd1166e9b0cd008a45eefab990a4b8a4e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01658",
    "kind": "arxiv",
    "version": 1
  }
}