Pith Number

pith:UD43GUWO

pith:2009:UD43GUWO6TH5DZLB5RKLDGVXKT

not attested not anchored not stored refs pending

A remark about dihedral group actions on spheres

Ian Hambleton

arxiv:0907.2641 v2 · 2009-07-15 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UD43GUWO6TH5DZLB5RKLDGVXKT}

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	2026-05-18T02:58:02.961347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f9b352cef4cfd1e561ec54b19ab754d08e85b773aa3c32f0b1c9a36f3d0ae1

Aliases

arxiv: 0907.2641 · arxiv_version: 0907.2641v2 · doi: 10.48550/arxiv.0907.2641 · pith_short_12: UD43GUWO6TH5 · pith_short_16: UD43GUWO6TH5DZLB · pith_short_8: UD43GUWO

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/UD43GUWO6TH5DZLB5RKLDGVXKT \
  | 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: a0f9b352cef4cfd1e561ec54b19ab754d08e85b773aa3c32f0b1c9a36f3d0ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec225e7e1305c0582cba6f54786e005d590cc0d542f617a1aa9b482c6a747223",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-15T16:31:08Z",
    "title_canon_sha256": "022e23a5320a9ac80d7dd5350a3e945fcfcc3276aea2b062eddb0a0f76fcf5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2641",
    "kind": "arxiv",
    "version": 2
  }
}