Pith Number

pith:VHJILIRY

pith:2009:VHJILIRYJEONWICJ3CYWWFKWZF

not attested not anchored not stored refs pending

A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies

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

arxiv:0906.3277 v2 · 2009-06-17 · 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{VHJILIRYJEONWICJ3CYWWFKWZF}

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	2026-05-18T03:42:32.491762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d285a238491cdb2049d8b16b1556c948478c40bf2f466d3784114b2ecf28c8

Aliases

arxiv: 0906.3277 · arxiv_version: 0906.3277v2 · doi: 10.48550/arxiv.0906.3277 · pith_short_12: VHJILIRYJEON · pith_short_16: VHJILIRYJEONWICJ · pith_short_8: VHJILIRY

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/VHJILIRYJEONWICJ3CYWWFKWZF \
  | 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: a9d285a238491cdb2049d8b16b1556c948478c40bf2f466d3784114b2ecf28c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f3e348ac9274ef2b59be2999856996e122d46c4ac2ff407d5e097682c8c933",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-17T19:47:07Z",
    "title_canon_sha256": "9bf20cde0487621004ea901d935b31ae058edc99cd142429c75cf9730272f734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3277",
    "kind": "arxiv",
    "version": 2
  }
}