Pith Number

pith:6NFMFVIH

pith:2012:6NFMFVIHOJPCD5YSCL2JKVB42T

not attested not anchored not stored refs pending

Solutions of the Gross-Pitaevskii and time-fractional Gross-Pitaevskii equations for different potentials with Homotopy Perturbation Method

D. Han, E. Aydiner, N. Uzar, T.T ufekci

arxiv:1203.3352 v1 · 2012-03-15 · quant-ph · cond-mat.other · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NFMFVIHOJPCD5YSCL2JKVB42T}

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	2026-05-18T04:00:02.011912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f34ac2d507725e21f71212f495543cd4ef9adbb4c5cb6009c7b8696260226814

Aliases

arxiv: 1203.3352 · arxiv_version: 1203.3352v1 · doi: 10.48550/arxiv.1203.3352 · pith_short_12: 6NFMFVIHOJPC · pith_short_16: 6NFMFVIHOJPCD5YS · pith_short_8: 6NFMFVIH

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/6NFMFVIHOJPCD5YSCL2JKVB42T \
  | 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: f34ac2d507725e21f71212f495543cd4ef9adbb4c5cb6009c7b8696260226814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f626bbcd96d307ad2b9a4308e778126cfd80060339671d67c3274a232f2c67a",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-03-15T12:58:58Z",
    "title_canon_sha256": "bd1d3ad5244c3915175eadc3109fd3230c3c231aec2ff819325e95ea66af7d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3352",
    "kind": "arxiv",
    "version": 1
  }
}