Pith Number

pith:XWSICQDI

pith:2010:XWSICQDIXBJNPY67CBL76MUZZA

not attested not anchored not stored refs pending

On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations

Changzheng Qu, Ying Fu, Yue Liu

arxiv:1009.2466 v2 · 2010-09-13 · math.AP · 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{XWSICQDIXBJNPY67CBL76MUZZA}

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	2026-05-18T04:40:56.950391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda4814068b852d7e3df1057ff3299c8022cc8e6f29fca333a6e3a19a897c531

Aliases

arxiv: 1009.2466 · arxiv_version: 1009.2466v2 · doi: 10.48550/arxiv.1009.2466 · pith_short_12: XWSICQDIXBJN · pith_short_16: XWSICQDIXBJNPY67 · pith_short_8: XWSICQDI

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/XWSICQDIXBJNPY67CBL76MUZZA \
  | 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: bda4814068b852d7e3df1057ff3299c8022cc8e6f29fca333a6e3a19a897c531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c380089022c50eca6fd711aaff1d51b4649367d008882972bf2f5fe47b9436",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-13T18:18:14Z",
    "title_canon_sha256": "7febd5737a5fa81e9be49d6adf7bcb095a5f9dd1569709248e272a38d6bec88a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2466",
    "kind": "arxiv",
    "version": 2
  }
}