Pith Number

pith:YQE6QHEH

pith:2011:YQE6QHEHK5PNQRKN2O72GOC66K

not attested not anchored not stored refs pending

Rigidity of certain solvable actions on the sphere

Masayuki Asaoka

arxiv:1109.1902 v2 · 2011-09-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQE6QHEHK5PNQRKN2O72GOC66K}

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	2026-05-18T02:38:18.052501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c409e81c87575ed8454dd3bfa3385ef29c3f732d11abfd0003bea65a295bb1c2

Aliases

arxiv: 1109.1902 · arxiv_version: 1109.1902v2 · doi: 10.48550/arxiv.1109.1902 · pith_short_12: YQE6QHEHK5PN · pith_short_16: YQE6QHEHK5PNQRKN · pith_short_8: YQE6QHEH

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/YQE6QHEHK5PNQRKN2O72GOC66K \
  | 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: c409e81c87575ed8454dd3bfa3385ef29c3f732d11abfd0003bea65a295bb1c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9e5871ad0e5bed4a7a5959657e6e5977777252dae84dc6b094a48b8290c38bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-09T06:33:39Z",
    "title_canon_sha256": "70b150ccf3708522ab125c25a4d3752d4939fc522e7e2ad44c96b304ffee1525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1902",
    "kind": "arxiv",
    "version": 2
  }
}