Pith Number

pith:OZURJYY4

pith:2003:OZURJYY4VEPU4MXE3KBADTVXL7

not attested not anchored not stored refs pending

Geometric Analysis of Bifurcation and Symmetry Breaking in a Gross-Pitaevskii equation

Michael I. Weinstein, Russell K. Jackson

arxiv:nlin/0309020 v1 · 2003-09-05 · nlin.PS · nlin.AO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZURJYY4VEPU4MXE3KBADTVXL7}

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	2026-07-04T16:41:45.863950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

766914e31ca91f4e32e4da8201ceb75ff9f4635e4951f91bcb9367af1095a2f8

Aliases

arxiv: nlin/0309020 · arxiv_version: nlin/0309020v1 · doi: 10.48550/arxiv.nlin/0309020 · pith_short_12: OZURJYY4VEPU · pith_short_16: OZURJYY4VEPU4MXE · pith_short_8: OZURJYY4

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/OZURJYY4VEPU4MXE3KBADTVXL7 \
  | 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: 766914e31ca91f4e32e4da8201ceb75ff9f4635e4951f91bcb9367af1095a2f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2528484f6c295148506afe920d8ea07164e56ad261ea79f9a6671c6f5c93cd",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "",
    "primary_cat": "nlin.PS",
    "submitted_at": "2003-09-05T13:48:33Z",
    "title_canon_sha256": "ff6e0d33e1ba2a823c5cd5c6396fd38ab3eb3c57db059673a24ccdb895ceb37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0309020",
    "kind": "arxiv",
    "version": 1
  }
}