Pith Number

pith:WXINI4ER

pith:2009:WXINI4ERJIIQBVDM3NRF6ONR7X

not attested not anchored not stored refs pending

Universal critical power for nonlinear Schrodinger equations with symmetric double well potential

Andrea Sacchetti

arxiv:0908.0246 v1 · 2009-08-03 · 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{WXINI4ERJIIQBVDM3NRF6ONR7X}

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	2026-05-18T02:12:45.239999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d0d470914a1100d46cdb625f39b1fdd532a64dd0470db1a993a98e69993353

Aliases

arxiv: 0908.0246 · arxiv_version: 0908.0246v1 · doi: 10.48550/arxiv.0908.0246 · pith_short_12: WXINI4ERJIIQ · pith_short_16: WXINI4ERJIIQBVDM · pith_short_8: WXINI4ER

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/WXINI4ERJIIQBVDM3NRF6ONR7X \
  | 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: b5d0d470914a1100d46cdb625f39b1fdd532a64dd0470db1a993a98e69993353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a1ea5eb718d3b32a16a1d4ce3e701cea54c46c85723db56caa085382e86be3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-03T13:36:09Z",
    "title_canon_sha256": "31fba36b5f1fb8d15f98f9200dfdab34e47d47cfdeb244c250cb8e71f9714e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0246",
    "kind": "arxiv",
    "version": 1
  }
}