Pith Number

pith:XU7LMXFE

pith:2015:XU7LMXFEBQ5RC7GTOFXUXQ6FRI

not attested not anchored not stored refs pending

Properly discontinuous group actions on affine homogeneous spaces

George Tomanov

arxiv:1507.08179 v2 · 2015-07-29 · 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{XU7LMXFEBQ5RC7GTOFXUXQ6FRI}

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	2026-05-18T01:23:44.613714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd3eb65ca40c3b117cd3716f4bc3c58a12e4e4b0a6c7ecb937df6d1de88ae4b9

Aliases

arxiv: 1507.08179 · arxiv_version: 1507.08179v2 · doi: 10.48550/arxiv.1507.08179 · pith_short_12: XU7LMXFEBQ5R · pith_short_16: XU7LMXFEBQ5RC7GT · pith_short_8: XU7LMXFE

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/XU7LMXFEBQ5RC7GTOFXUXQ6FRI \
  | 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: bd3eb65ca40c3b117cd3716f4bc3c58a12e4e4b0a6c7ecb937df6d1de88ae4b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f29e6354d58cccfa280be58272ddbb2cf3a45693bea068fa676b5401dd21c0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-07-29T15:12:14Z",
    "title_canon_sha256": "dad0a67ccef099fb808d04d886713e22d7cb4af325f334cb5598d96caef419bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08179",
    "kind": "arxiv",
    "version": 2
  }
}