Pith Number

pith:CFXX7YP3

pith:2011:CFXX7YP3GKSZDYFDERGQ62QG7E

not attested not anchored not stored refs pending

Generalized inequalities for the Bogoliubov-Duhamel inner product with applications in the Approximating Hamiltonian Method

J. G. Brankov, N. S. Tonchev

arxiv:1101.2882 v2 · 2011-01-14 · 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{CFXX7YP3GKSZDYFDERGQ62QG7E}

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	2026-05-18T04:19:53.244102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

116f7fe1fb32a591e0a3244d0f6a06f92328f470b3ce6659fac103dd1274930b

Aliases

arxiv: 1101.2882 · arxiv_version: 1101.2882v2 · doi: 10.48550/arxiv.1101.2882 · pith_short_12: CFXX7YP3GKSZ · pith_short_16: CFXX7YP3GKSZDYFD · pith_short_8: CFXX7YP3

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/CFXX7YP3GKSZDYFDERGQ62QG7E \
  | 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: 116f7fe1fb32a591e0a3244d0f6a06f92328f470b3ce6659fac103dd1274930b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc190703f71e35e2e231877a5066e34431f09ef4b62f67fd4bef0ecfc1f2df35",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-14T20:05:56Z",
    "title_canon_sha256": "b026147e2729dd4f9f49044c465787ebb6cd1a9a9b4ab16eceae33486689839e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2882",
    "kind": "arxiv",
    "version": 2
  }
}