Pith Number

pith:GF2JVKHL

pith:2012:GF2JVKHL3LUUNXYHGSDL5O56MV

not attested not anchored not stored refs pending

On the Structure of Involutions and Symmetric Spaces of Dihedral Groups

Aloysius G. Helminck, Benjamin F. Jones, Hyunju Oh, Jennifer F. Vasquez, Katrina K. A. Cunningham, Rachel Schwell, Tom J. Edgar

arxiv:1205.3207 v1 · 2012-05-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GF2JVKHL3LUUNXYHGSDL5O56MV}

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	2026-05-18T02:27:06.164191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31749aa8ebdae946df073486bebbbe657e955eb6cfc363712b069ca917e7456a

Aliases

arxiv: 1205.3207 · arxiv_version: 1205.3207v1 · doi: 10.48550/arxiv.1205.3207 · pith_short_12: GF2JVKHL3LUU · pith_short_16: GF2JVKHL3LUUNXYH · pith_short_8: GF2JVKHL

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/GF2JVKHL3LUUNXYHGSDL5O56MV \
  | 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: 31749aa8ebdae946df073486bebbbe657e955eb6cfc363712b069ca917e7456a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eaae2f6132f50c853ad228a5c679e394a89dfbfa5fe1a8c24bab612df882536",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-14T22:07:14Z",
    "title_canon_sha256": "ce4b97d016ebbf2974390b590650b69444b86eb9599ccce29f2d9b0e99419de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3207",
    "kind": "arxiv",
    "version": 1
  }
}