Pith Number

pith:4RLJZ24F

pith:2008:4RLJZ24FMZRYO44XMU6ZEYT66A

not attested not anchored not stored refs pending

On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies

Nata\v{s}a Pavlovi\'c, Thomas Chen

arxiv:0812.3463 v2 · 2008-12-18 · 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{4RLJZ24FMZRYO44XMU6ZEYT66A}

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	2026-05-18T04:34:01.502715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4569ceb856663877397653d92627ef022aaafd7224114a450582800f9bbc759

Aliases

arxiv: 0812.3463 · arxiv_version: 0812.3463v2 · doi: 10.48550/arxiv.0812.3463 · pith_short_12: 4RLJZ24FMZRY · pith_short_16: 4RLJZ24FMZRYO44X · pith_short_8: 4RLJZ24F

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/4RLJZ24FMZRYO44XMU6ZEYT66A \
  | 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: e4569ceb856663877397653d92627ef022aaafd7224114a450582800f9bbc759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd2f05b59b084967c45bafe32d14eece268149e00cc0edd99124e87830b118cc",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-12-18T18:16:36Z",
    "title_canon_sha256": "ddab6106897dbcf627e10b329ae71a0df3c78b6dea205edabb6abcc62feda727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3463",
    "kind": "arxiv",
    "version": 2
  }
}