Pith Number

pith:3Z3MY3ZG

pith:2010:3Z3MY3ZGZKLJGWN3QXFZIY53LP

not attested not anchored not stored refs pending

Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions

A. T. Avelar, D. Bazeia, W. B. Cardoso

arxiv:1012.1839 v2 · 2010-12-08 · quant-ph · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Z3MY3ZGZKLJGWN3QXFZIY53LP}

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	2026-05-18T04:25:38.900088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de76cc6f26ca969359bb85cb9463bb5be817eb311e6cad0dfc68143c4b73fd74

Aliases

arxiv: 1012.1839 · arxiv_version: 1012.1839v2 · doi: 10.48550/arxiv.1012.1839 · pith_short_12: 3Z3MY3ZGZKLJ · pith_short_16: 3Z3MY3ZGZKLJGWN3 · pith_short_8: 3Z3MY3ZG

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/3Z3MY3ZGZKLJGWN3QXFZIY53LP \
  | 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: de76cc6f26ca969359bb85cb9463bb5be817eb311e6cad0dfc68143c4b73fd74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8a80b7d8421d8595f5d302238d7b856ef1a73799f385a5595e2c618b6448076",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-08T19:46:20Z",
    "title_canon_sha256": "d6178e33b2f8aba09ad478beb2aa5bca4fe22a5c8d58329fcd4ded4ba6f35504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1839",
    "kind": "arxiv",
    "version": 2
  }
}