Pith Number

pith:X2VQQUOT

pith:2010:X2VQQUOTZBWWSBHJXJY4DQEUZY

not attested not anchored not stored refs pending

Exactness of the Bogoliubov approximation in random external potentials

Thomas Jaeck, Valentin Zagrebnov (CPT)

arxiv:1010.0425 v1 · 2010-10-03 · 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{X2VQQUOTZBWWSBHJXJY4DQEUZY}

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	2026-05-18T02:05:12.177623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beab0851d3c86d6904e9ba71c1c094ce10ed162f0caedade1fe015a50beddd36

Aliases

arxiv: 1010.0425 · arxiv_version: 1010.0425v1 · doi: 10.48550/arxiv.1010.0425 · pith_short_12: X2VQQUOTZBWW · pith_short_16: X2VQQUOTZBWWSBHJ · pith_short_8: X2VQQUOT

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/X2VQQUOTZBWWSBHJXJY4DQEUZY \
  | 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: beab0851d3c86d6904e9ba71c1c094ce10ed162f0caedade1fe015a50beddd36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eab349a1b987d5419c52f68e4d1a166408150efd22b056817c3f325b4730ceb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-03T18:24:26Z",
    "title_canon_sha256": "a380d8adbb2b7e4a6823deccbd89d0359c0faa47b9f9dd2199e793e3d955feaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0425",
    "kind": "arxiv",
    "version": 1
  }
}