Pith Number

pith:4QQ7C7MM

pith:2010:4QQ7C7MMI5FZSDNSL6YJDI2GWT

not attested not anchored not stored refs pending

Critical Rotational Speeds in the Gross-Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions

F. Pinsker, J. Yngvason, M. Correggi, N. Rougerie

arxiv:1012.1157 v2 · 2010-12-06 · math-ph · cond-mat.quant-gas · 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{4QQ7C7MMI5FZSDNSL6YJDI2GWT}

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	2026-05-18T04:23:35.015165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e421f17d8c474b990db25fb091a346b4fd3a82f724390775171945a6a798f006

Aliases

arxiv: 1012.1157 · arxiv_version: 1012.1157v2 · doi: 10.48550/arxiv.1012.1157 · pith_short_12: 4QQ7C7MMI5FZ · pith_short_16: 4QQ7C7MMI5FZSDNS · pith_short_8: 4QQ7C7MM

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/4QQ7C7MMI5FZSDNSL6YJDI2GWT \
  | 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: e421f17d8c474b990db25fb091a346b4fd3a82f724390775171945a6a798f006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ee424051e75d8a07a1f452bcb691f4d4c7aa04b6a52fde811128f765b55b4b",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-06T13:05:43Z",
    "title_canon_sha256": "45aea640342bde9af44be8f09cf0cedd3a31cd01da5e6a0b9285ac9007714e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1157",
    "kind": "arxiv",
    "version": 2
  }
}