Pith Number

pith:6GTJP3OO

pith:2024:6GTJP3OOTKIQTM5AYJKP3RMS7R

not attested not anchored not stored refs pending

Derivation of the Gross-Pitaevskii Dynamics through Renormalized Excitation Number Operators

Christian Brennecke, Wilhelm Kroschinsky

arxiv:2407.10650 v1 · 2024-07-15 · 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{6GTJP3OOTKIQTM5AYJKP3RMS7R}

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.

Cited by

1 paper in Pith

Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime

Receipt and verification

First computed	2026-07-05T11:33:47.717274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1a697edce9a9109b3a0c254fdc592fc62d8c439b3bd71002814dee0be59b0b3

Aliases

arxiv: 2407.10650 · arxiv_version: 2407.10650v1 · doi: 10.48550/arxiv.2407.10650 · pith_short_12: 6GTJP3OOTKIQ · pith_short_16: 6GTJP3OOTKIQTM5A · pith_short_8: 6GTJP3OO

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/6GTJP3OOTKIQTM5AYJKP3RMS7R \
  | 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: f1a697edce9a9109b3a0c254fdc592fc62d8c439b3bd71002814dee0be59b0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac2b479f2c8fd89f90d6f67fbdf87c2f73ab9cc292c3c748bc1cd9e4bf34d2a",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-07-15T12:12:22Z",
    "title_canon_sha256": "912beca268adc64dd90c74e86519238e2339e055575e5a54022a4083d47fd587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.10650",
    "kind": "arxiv",
    "version": 1
  }
}