Pith Number

pith:MTWXYHSF

pith:2012:MTWXYHSFD4GKC6AJA2K35ZG4M3

not attested not anchored not stored refs pending

Rigidity of group actions on homogeneous spaces, III

Alex Furman, Alex Gorodnik, Barak Weiss, Uri Bader

arxiv:1201.5367 v1 · 2012-01-25 · 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{MTWXYHSFD4GKC6AJA2K35ZG4M3}

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	2026-05-18T01:28:21.831559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ed7c1e451f0ca178090695bee4dc66eef6e00bd30cf74d251939cfc6cf8cfa

Aliases

arxiv: 1201.5367 · arxiv_version: 1201.5367v1 · doi: 10.48550/arxiv.1201.5367 · pith_short_12: MTWXYHSFD4GK · pith_short_16: MTWXYHSFD4GKC6AJ · pith_short_8: MTWXYHSF

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/MTWXYHSFD4GKC6AJA2K35ZG4M3 \
  | 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: 64ed7c1e451f0ca178090695bee4dc66eef6e00bd30cf74d251939cfc6cf8cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68933cc0f2d0762048d765d8232d546ce5273706832407ceab07d267fa5409ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-25T20:46:24Z",
    "title_canon_sha256": "f499e644034682263cecbb7324e33968656bef1aea9e2607a98861971a9d356e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5367",
    "kind": "arxiv",
    "version": 1
  }
}