Pith Number

pith:FWD2J3KR

pith:2011:FWD2J3KRNT5IAMYI5SFREQBFUJ

not attested not anchored not stored refs pending

Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity

Qiaoyi Hu, Zhaoyang Yin

arxiv:1103.1500 v2 · 2011-03-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWD2J3KRNT5IAMYI5SFREQBFUJ}

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	2026-05-18T04:27:06.111127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d87a4ed516cfa803308ec8b124025a2598fa3dba901127e38bec3eafd91278f

Aliases

arxiv: 1103.1500 · arxiv_version: 1103.1500v2 · doi: 10.48550/arxiv.1103.1500 · pith_short_12: FWD2J3KRNT5I · pith_short_16: FWD2J3KRNT5IAMYI · pith_short_8: FWD2J3KR

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/FWD2J3KRNT5IAMYI5SFREQBFUJ \
  | 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: 2d87a4ed516cfa803308ec8b124025a2598fa3dba901127e38bec3eafd91278f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9fda5aaa86f0bb7487e42073341b7a5e1b25aa94d50e1501e507feea2ad3d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-08T12:00:40Z",
    "title_canon_sha256": "0b533eaaf5989d0bf67bc37f7c98a4f74ec1e5ec27e624c3d4ab8710be258992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1500",
    "kind": "arxiv",
    "version": 2
  }
}