Pith Number

pith:MGMIG2OJ

pith:2008:MGMIG2OJCWAUZ5UQMUEI55RW5W

not attested not anchored not stored refs pending

Nonlocal symmetries for bilinear equations and their applications

Sen-yue Lou, Xian-min Qian, Xing-biao Hu

arxiv:0812.0961 v1 · 2008-12-04 · nlin.SI · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGMIG2OJCWAUZ5UQMUEI55RW5W}

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	2026-05-18T03:14:39.547448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61988369c915814cf69065088ef636ed937bd98795a60c5b32e8316637734ced

Aliases

arxiv: 0812.0961 · arxiv_version: 0812.0961v1 · doi: 10.48550/arxiv.0812.0961 · pith_short_12: MGMIG2OJCWAU · pith_short_16: MGMIG2OJCWAUZ5UQ · pith_short_8: MGMIG2OJ

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/MGMIG2OJCWAUZ5UQMUEI55RW5W \
  | 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: 61988369c915814cf69065088ef636ed937bd98795a60c5b32e8316637734ced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f4606b8addff65239ea1d58ca81c9f54acf01db394656f8a8fa7dba1c20b7cb",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2008-12-04T15:52:08Z",
    "title_canon_sha256": "f129d940e64d2fc323b62949e2f693d607db22557db23e9ab3f017cc76ba16cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0961",
    "kind": "arxiv",
    "version": 1
  }
}