Pith Number

pith:NDN7VN5R

pith:2021:NDN7VN5R7AFTFCEHH26ZIBUIYL

not attested not anchored not stored refs pending

Measure equivalence rigidity of $\mathrm{Out}(F_N)$

Camille Horbez, Vincent Guirardel

arxiv:2103.03696 v3 · 2021-03-05 · math.GR · math.GT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDN7VN5R7AFTFCEHH26ZIBUIYL}

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.

Cited by

2 papers in Pith

Thurston norm, polytopes and splitting complexity

Characterizing hierarchically hyperbolic free by cyclic groups

Receipt and verification

First computed	2026-07-05T10:53:06.929227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68dbfab7b1f80b3288873ebd940688c2e00c68944de6abf6ebd89d1f68f41b05

Aliases

arxiv: 2103.03696 · arxiv_version: 2103.03696v3 · doi: 10.48550/arxiv.2103.03696 · pith_short_12: NDN7VN5R7AFT · pith_short_16: NDN7VN5R7AFTFCEH · pith_short_8: NDN7VN5R

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/NDN7VN5R7AFTFCEHH26ZIBUIYL \
  | 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: 68dbfab7b1f80b3288873ebd940688c2e00c68944de6abf6ebd89d1f68f41b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be08b93ec264a5177a10b81ce149399ede7c7d4ddd7fd1ad5c665e2603e7277",
    "cross_cats_sorted": [
      "math.GT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-03-05T14:15:42Z",
    "title_canon_sha256": "ab6579621bd48c79d9989a94d060d8ab00109f55cdb68b58a41996b939b58a3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.03696",
    "kind": "arxiv",
    "version": 3
  }
}