Pith Number

pith:IXZL4BIF

pith:2017:IXZL4BIFIYLMYT3H5YXCHIYBMY

not attested not anchored not stored refs pending

An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates

Fei Xu, Hehu Xie, Ning Zhang

arxiv:1711.02519 v2 · 2017-11-04 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXZL4BIFIYLMYT3H5YXCHIYBMY}

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	2026-05-18T00:28:22.291461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f2be05054616cc4f67ee2e23a3016635be55503857197b91f9d1eef55f4150

Aliases

arxiv: 1711.02519 · arxiv_version: 1711.02519v2 · doi: 10.48550/arxiv.1711.02519 · pith_short_12: IXZL4BIFIYLM · pith_short_16: IXZL4BIFIYLMYT3H · pith_short_8: IXZL4BIF

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/IXZL4BIFIYLMYT3H5YXCHIYBMY \
  | 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: 45f2be05054616cc4f67ee2e23a3016635be55503857197b91f9d1eef55f4150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "373e9248b9b39315327fddd76f3b143c2bf0f8b431af868b753640e1919214a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-11-04T16:42:04Z",
    "title_canon_sha256": "7ccc5acbf79abafc255af70d370b60f73eeb235dc7d5c444e027bfd7dbb7b6e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02519",
    "kind": "arxiv",
    "version": 2
  }
}