Pith Number

pith:MZ3HVMM7

pith:2009:MZ3HVMM7BPPCJEKLJ2H2XFK43F

not attested not anchored not stored refs pending

Critical entropies for magnetic ordering in bosonic mixtures on a lattice

B. Capogrosso-Sansone, B.V. Svistunov, \c{S}.G. S\"oyler, N.V. Prokof'ev

arxiv:0912.1865 v1 · 2009-12-10 · cond-mat.quant-gas · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZ3HVMM7BPPCJEKLJ2H2XFK43F}

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	2026-05-18T02:10:25.074226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66767ab19f0bde24914b4e8fab955cd96651df9a69ba9d7c0280dbb32d80433f

Aliases

arxiv: 0912.1865 · arxiv_version: 0912.1865v1 · doi: 10.48550/arxiv.0912.1865 · pith_short_12: MZ3HVMM7BPPC · pith_short_16: MZ3HVMM7BPPCJEKL · pith_short_8: MZ3HVMM7

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/MZ3HVMM7BPPCJEKLJ2H2XFK43F \
  | 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: 66767ab19f0bde24914b4e8fab955cd96651df9a69ba9d7c0280dbb32d80433f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d5037cb5676f950d74961a820f6e71a161545d479398a73d95783062dfc22d",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2009-12-10T20:55:33Z",
    "title_canon_sha256": "aafe449d16c42e038060d501769ba207234903b7293493fdcdc91477ddc146d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1865",
    "kind": "arxiv",
    "version": 1
  }
}