Pith Number

pith:3VP7NZP6

pith:2016:3VP7NZP6Y3B3G3NTOUBFNM2HH6

not attested not anchored not stored refs pending

Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method

Antoine Levitt (CERMICS, LMRS, MATHERIALS), Qinglin Tang (IECL, SPHINX), Xavier Antoine (IECL

arxiv:1611.02045 v1 · 2016-11-07 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VP7NZP6Y3B3G3NTOUBFNM2HH6}

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	2026-05-18T00:43:59.314697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5ff6e5fec6c3b36db3750256b3473f9930b4ae0814fc6f85709b06f79fd09d

Aliases

arxiv: 1611.02045 · arxiv_version: 1611.02045v1 · doi: 10.48550/arxiv.1611.02045 · pith_short_12: 3VP7NZP6Y3B3 · pith_short_16: 3VP7NZP6Y3B3G3NT · pith_short_8: 3VP7NZP6

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/3VP7NZP6Y3B3G3NTOUBFNM2HH6 \
  | 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: dd5ff6e5fec6c3b36db3750256b3473f9930b4ae0814fc6f85709b06f79fd09d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b82b592494370e675982eec6037d9e657b96e52f45062aa00e397486eb7dc19",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-07T13:38:43Z",
    "title_canon_sha256": "7e9183bf323d923ba4952ec6089ccb86d90f850068f5c7800f9face0ea76e3e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02045",
    "kind": "arxiv",
    "version": 1
  }
}