Pith Number

pith:LOK6BQF6

pith:2006:LOK6BQF6E5OQER7OJ77X64P2X2

not attested not anchored not stored refs pending

Schrodinger equation for the one particle density matrix of thermal systems: An alternative formulation of Bose-Einstein condensation

Peter Pfeifer, Subodha Mishra

arxiv:cond-mat/0611506 v1 · 2006-11-19 · 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{LOK6BQF6E5OQER7OJ77X64P2X2}

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	2026-05-18T01:39:39.565591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b95e0c0be275d0247ee4fff7f71fabe8c20d82a63b086e94f7d2d7bc3b3c8ba

Aliases

arxiv: cond-mat/0611506 · arxiv_version: cond-mat/0611506v1 · doi: 10.48550/arxiv.cond-mat/0611506 · pith_short_12: LOK6BQF6E5OQ · pith_short_16: LOK6BQF6E5OQER7O · pith_short_8: LOK6BQF6

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/LOK6BQF6E5OQER7OJ77X64P2X2 \
  | 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: 5b95e0c0be275d0247ee4fff7f71fabe8c20d82a63b086e94f7d2d7bc3b3c8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2cd3e76148d3970bb8af36a094eb86032427460c4e646955dbaafdcf752e50",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-11-19T21:00:22Z",
    "title_canon_sha256": "688915941e869deb86805c3b4efbea6272fca35820e4d3c92aee81c35ca5d775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0611506",
    "kind": "arxiv",
    "version": 1
  }
}