Pith Number

pith:S6TNA3XK

pith:2023:S6TNA3XKH5CTMZJ4HSNENRKA74

not attested not anchored not stored refs pending

Positive-density ground states of the Gross-Pitaevskii equation

Mathieu Lewin, Phan Th\`anh Nam

arxiv:2310.03495 v5 · 2023-10-05 · 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{S6TNA3XKH5CTMZJ4HSNENRKA74}

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	2026-07-05T10:39:08.637054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97a6d06eea3f4536653c3c9a46c540ff1aaf3a4d6b5f567bf3d6b7715083d152

Aliases

arxiv: 2310.03495 · arxiv_version: 2310.03495v5 · doi: 10.48550/arxiv.2310.03495 · pith_short_12: S6TNA3XKH5CT · pith_short_16: S6TNA3XKH5CTMZJ4 · pith_short_8: S6TNA3XK

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/S6TNA3XKH5CTMZJ4HSNENRKA74 \
  | 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: 97a6d06eea3f4536653c3c9a46c540ff1aaf3a4d6b5f567bf3d6b7715083d152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1a8ae5a192ee97bada31ad9bd20f1147a45df91a56ae4928d08df852f25be3",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-10-05T12:14:05Z",
    "title_canon_sha256": "1bca581f11065dca2e9a51a2269eba7f30de603045332a8772dea3c53165e58f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.03495",
    "kind": "arxiv",
    "version": 5
  }
}