Pith Number

pith:XDRNWAJP

pith:2010:XDRNWAJPEFJGDDJXP3XQBN63KV

not attested not anchored not stored refs pending

A normal form of the non-linear Schr\"odinger equation

Claudio Procesi, Michela Procesi

arxiv:1005.3838 v2 · 2010-05-20 · math.AP · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDRNWAJPEFJGDDJXP3XQBN63KV}

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	2026-05-18T04:41:36.602158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e2db012f2152618d377eef00b7db556adbe3d19b8b998004afd57b2d303857

Aliases

arxiv: 1005.3838 · arxiv_version: 1005.3838v2 · doi: 10.48550/arxiv.1005.3838 · pith_short_12: XDRNWAJPEFJG · pith_short_16: XDRNWAJPEFJGDDJX · pith_short_8: XDRNWAJP

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/XDRNWAJPEFJGDDJXP3XQBN63KV \
  | 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: b8e2db012f2152618d377eef00b7db556adbe3d19b8b998004afd57b2d303857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e373fcb499de20e26aaa1600cab8d28eaa6be5d1d92741ed5c5688cfef8921cf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-05-20T20:40:43Z",
    "title_canon_sha256": "fed3b21dbf55f128257ebddbc5712bf95fff9d80e29ebb55bfc053ba5e274617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3838",
    "kind": "arxiv",
    "version": 2
  }
}