Pith Number

pith:ESDAFVCC

pith:2026:ESDAFVCCK4UB4U2Z7UCR5NU2PR

not attested not anchored not stored refs pending

Superheavy dark-bright soliton as a signature of spatial symmetry breaking transition in harmonically trapped Bose mixtures

Jie Liu, Li-Chen Zhao, Ling-Zheng Meng, Zheng Gao

arxiv:2607.09064 v1 · 2026-07-10 · cond-mat.quant-gas · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESDAFVCCK4UB4U2Z7UCR5NU2PR}

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	2026-07-13T00:17:38.953624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248602d44257281e5359fd051eb69a7c716c0fa876f9a22aafe0ec2cda5880e7

Aliases

arxiv: 2607.09064 · arxiv_version: 2607.09064v1 · doi: 10.48550/arxiv.2607.09064 · pith_short_12: ESDAFVCCK4UB · pith_short_16: ESDAFVCCK4UB4U2Z · pith_short_8: ESDAFVCC

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/ESDAFVCCK4UB4U2Z7UCR5NU2PR \
  | 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: 248602d44257281e5359fd051eb69a7c716c0fa876f9a22aafe0ec2cda5880e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e203a9354984a5803ae5a6d8110ffa10c7450fa205395844e012d7d47cae960",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-07-10T03:17:15Z",
    "title_canon_sha256": "58ec53cc60315fb3ff0ad74d9625027f5795921279cd6c1b74c38e632acf3f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09064",
    "kind": "arxiv",
    "version": 1
  }
}