Pith Number

pith:LOUCOLTO

pith:2015:LOUCOLTOVR7AQXCREMY5GH22HE

not attested not anchored not stored refs pending

The Bogoliubov free energy functional II. The dilute limit

Jan Philip Solovej, Marcin Napi\'orkowski, Robin Reuvers

arxiv:1511.05953 v3 · 2015-11-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOUCOLTOVR7AQXCREMY5GH22HE}

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	2026-05-18T00:23:02.015783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ba8272e6eac7e085c512331d31f5a3911e5fb3810486c35722d710b9338eacc

Aliases

arxiv: 1511.05953 · arxiv_version: 1511.05953v3 · doi: 10.48550/arxiv.1511.05953 · pith_short_12: LOUCOLTOVR7A · pith_short_16: LOUCOLTOVR7AQXCR · pith_short_8: LOUCOLTO

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/LOUCOLTOVR7AQXCREMY5GH22HE \
  | 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: 5ba8272e6eac7e085c512331d31f5a3911e5fb3810486c35722d710b9338eacc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd79f7a84949821268a0a606e7c1a9a745b63fb885b2bb768dabde88e3cf78f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-18T20:56:48Z",
    "title_canon_sha256": "d3773d0657ba16c5b0c2caa467b914b78638152bb02ef63e766a572140ec2a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05953",
    "kind": "arxiv",
    "version": 3
  }
}