Pith Number

pith:ASBKNQPZ

pith:2016:ASBKNQPZGVLNQNLGLOFDIMOS4G

not attested not anchored not stored refs pending

A note on the validity of Bogoliubov correction to mean-field dynamics

Marcin Napi\'orkowski, Phan Th\`anh Nam

arxiv:1604.05240 v3 · 2016-04-18 · math-ph · math.AP · 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{ASBKNQPZGVLNQNLGLOFDIMOS4G}

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	2026-05-18T00:58:33.686976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0482a6c1f93556d835665b8a3431d2e1b72c5cabc1adad2abf48e4e96a2cd281

Aliases

arxiv: 1604.05240 · arxiv_version: 1604.05240v3 · doi: 10.48550/arxiv.1604.05240 · pith_short_12: ASBKNQPZGVLN · pith_short_16: ASBKNQPZGVLNQNLG · pith_short_8: ASBKNQPZ

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/ASBKNQPZGVLNQNLGLOFDIMOS4G \
  | 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: 0482a6c1f93556d835665b8a3431d2e1b72c5cabc1adad2abf48e4e96a2cd281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a0769267df203f36b787ff5d647ecfc01d9d03a28134648e200278499aa3ba",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-18T16:56:46Z",
    "title_canon_sha256": "36f942b14074fd11fcc8f5bc4230eeaa1e63518303c63720a87edcec03e30d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05240",
    "kind": "arxiv",
    "version": 3
  }
}