Pith Number

pith:4TL2SVHU

pith:2017:4TL2SVHUGX35RNS2UDZFJM2ZHM

not attested not anchored not stored refs pending

Bogoliubov quasi-averages: spontaneous symmetry breaking and algebra of fluctuations

Valentin A. Zagrebnov, Walter F. Wreszinski

arxiv:1704.00190 v1 · 2017-04-01 · math-ph · math.FA · 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{4TL2SVHUGX35RNS2UDZFJM2ZHM}

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	2026-05-18T00:03:09.905580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d7a954f435f7d8b65aa0f254b3593b2a623d16077c1c0479d42f3791734d34

Aliases

arxiv: 1704.00190 · arxiv_version: 1704.00190v1 · doi: 10.48550/arxiv.1704.00190 · pith_short_12: 4TL2SVHUGX35 · pith_short_16: 4TL2SVHUGX35RNS2 · pith_short_8: 4TL2SVHU

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/4TL2SVHUGX35RNS2UDZFJM2ZHM \
  | 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: e4d7a954f435f7d8b65aa0f254b3593b2a623d16077c1c0479d42f3791734d34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe177971beb09fa1627f497b3184842a1a4fab5552fab041c3745bbcbd7d1f9",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-04-01T15:58:40Z",
    "title_canon_sha256": "f12199b64bf101a7134065339b4c7285aaaaffafaa2895e06768c01f1768bd05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00190",
    "kind": "arxiv",
    "version": 1
  }
}