Pith Number

pith:QOUTC4ME

pith:2010:QOUTC4MEKPJBH4ZYG2FPJRDCLB

not attested not anchored not stored refs pending

On the Cauchy problem for Gross-Pitaevskii hierarchies

Chuangye Liu, Zeqian Chen

arxiv:1010.3827 v2 · 2010-10-19 · math-ph · 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{QOUTC4MEKPJBH4ZYG2FPJRDCLB}

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	2026-05-18T02:05:01.338622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83a931718453d213f338368af4c462584d79a4a8c292bd41f527ee87e64e4a50

Aliases

arxiv: 1010.3827 · arxiv_version: 1010.3827v2 · doi: 10.48550/arxiv.1010.3827 · pith_short_12: QOUTC4MEKPJB · pith_short_16: QOUTC4MEKPJBH4ZY · pith_short_8: QOUTC4ME

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/QOUTC4MEKPJBH4ZYG2FPJRDCLB \
  | 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: 83a931718453d213f338368af4c462584d79a4a8c292bd41f527ee87e64e4a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b60eb134e6121d7d95f5057c28bb4003bc23da766681faf00ba8665d6044e1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-19T08:40:00Z",
    "title_canon_sha256": "8b606bec1e703d06d241ec3d08ecdfc48dce99767e9eb0f12a5451b95fa46cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3827",
    "kind": "arxiv",
    "version": 2
  }
}