Pith Number

pith:GPYFIQR6

pith:2018:GPYFIQR6QPWAKDXDFW55H5U5DQ

not attested not anchored not stored refs pending

Free energies of Boltzmann Machines: self-averaging, annealed and replica symmetric approximations in the thermodynamic limit

Adriano Barra, Brunello Tirozzi, Elena Agliari

arxiv:1810.11075 v2 · 2018-10-20 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPYFIQR6QPWAKDXDFW55H5U5DQ}

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	2026-05-17T23:51:43.754716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f054423e83ec050ee32dbbd3f69d1c37e6d0ee29bd2017073c29c771fbd833

Aliases

arxiv: 1810.11075 · arxiv_version: 1810.11075v2 · doi: 10.48550/arxiv.1810.11075 · pith_short_12: GPYFIQR6QPWA · pith_short_16: GPYFIQR6QPWAKDXD · pith_short_8: GPYFIQR6

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/GPYFIQR6QPWAKDXDFW55H5U5DQ \
  | 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: 33f054423e83ec050ee32dbbd3f69d1c37e6d0ee29bd2017073c29c771fbd833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88ea8701f02b87fc009adad4b6291df945849b895a8cf65573ae3b4f5108ab2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2018-10-20T08:13:26Z",
    "title_canon_sha256": "20f2412a8c075674e6b6b01d6035f7d54342c4a9b84d22c1661a7dd7b85b562f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11075",
    "kind": "arxiv",
    "version": 2
  }
}