Pith Number

pith:FQJHNDJB

pith:2011:FQJHNDJB5XNUKYMZQHAD63E2DP

not attested not anchored not stored refs pending

Weak geodesic flow on a semi-direct product and global solutions to the periodic Hunter-Saxton system

Marcus Wunsch

arxiv:1101.5483 v1 · 2011-01-28 · 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{FQJHNDJB5XNUKYMZQHAD63E2DP}

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	2026-05-18T04:30:34.864886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c12768d21eddb45619981c03f6c9a1bd65bee0f59c0e08ee620ea5a43ade119

Aliases

arxiv: 1101.5483 · arxiv_version: 1101.5483v1 · doi: 10.48550/arxiv.1101.5483 · pith_short_12: FQJHNDJB5XNU · pith_short_16: FQJHNDJB5XNUKYMZ · pith_short_8: FQJHNDJB

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/FQJHNDJB5XNUKYMZQHAD63E2DP \
  | 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: 2c12768d21eddb45619981c03f6c9a1bd65bee0f59c0e08ee620ea5a43ade119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7996608c3cdf3a0297e61d875673242584c4262be46d6d34dc79fbbd76d4334",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-28T09:16:36Z",
    "title_canon_sha256": "2071a0f0e5283c44c66ce846d91f73911a82de0368fa3fcad2c8683cef6573b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5483",
    "kind": "arxiv",
    "version": 1
  }
}