Pith Number

pith:DJI4H5JU

pith:2015:DJI4H5JUH6PBQCYJWMRELF2RY5

not attested not anchored not stored refs pending

Generalized Bogoliubov transformations versus ${\mathcal{D}}$% -pseudo-bosons

Andreas Fring, Fabio Bagarello

arxiv:1510.00963 v1 · 2015-10-04 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJI4H5JUH6PBQCYJWMRELF2RY5}

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	2026-05-18T01:04:53.950504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a51c3f5343f9e180b09b322459751c743593e4173e729f46ab4d8b85b7e9988

Aliases

arxiv: 1510.00963 · arxiv_version: 1510.00963v1 · doi: 10.48550/arxiv.1510.00963 · pith_short_12: DJI4H5JUH6PB · pith_short_16: DJI4H5JUH6PBQCYJ · pith_short_8: DJI4H5JU

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/DJI4H5JUH6PBQCYJWMRELF2RY5 \
  | 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: 1a51c3f5343f9e180b09b322459751c743593e4173e729f46ab4d8b85b7e9988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5cee1fbab8f2cfcdc89c37be915733bcae1bbf60386753882e5476fd34d705",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-04T18:16:00Z",
    "title_canon_sha256": "914e4db9da9e6cc19897fef7055134d69bbb612b6aa9a10d88e954e8aca4a3b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00963",
    "kind": "arxiv",
    "version": 1
  }
}