Pith Number

pith:SWTMMGXL

pith:2013:SWTMMGXLRDYUCBD2FDL5PU3R2Q

not attested not anchored not stored refs pending

Unconditional uniqueness for the cubic Gross-Pitaevskii hierarchy via quantum de Finetti

Christian Hainzl, Natasa Pavlovic, Robert Seiringer, Thomas Chen

arxiv:1307.3168 v3 · 2013-07-11 · 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{SWTMMGXLRDYUCBD2FDL5PU3R2Q}

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	2026-05-18T01:23:21.037801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95a6c61aeb88f141047a28d7d7d371d408711f7dad0a1009c30a880d528f67ff

Aliases

arxiv: 1307.3168 · arxiv_version: 1307.3168v3 · doi: 10.48550/arxiv.1307.3168 · pith_short_12: SWTMMGXLRDYU · pith_short_16: SWTMMGXLRDYUCBD2 · pith_short_8: SWTMMGXL

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/SWTMMGXLRDYUCBD2FDL5PU3R2Q \
  | 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: 95a6c61aeb88f141047a28d7d7d371d408711f7dad0a1009c30a880d528f67ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e943d7efa08ef27ba7a6f515fb744f2dc6e1f4e5616549912a83c6a9aa08f134",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-11T16:33:22Z",
    "title_canon_sha256": "89a3dc8c94fcf6d93db8e6aa4b009b40aab5c45bc3c214c9b83bc5352a9622fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3168",
    "kind": "arxiv",
    "version": 3
  }
}