Pith Number

pith:DZ3OBDEQ

pith:2025:DZ3OBDEQFT53PTTYMZCOPZG6UR

not attested not anchored not stored refs pending

Relative solidity for biexact groups in measure equivalence

Changying Ding, Daniel Drimbe

arxiv:2503.24167 v1 · 2025-03-31 · math.OA · 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{DZ3OBDEQFT53PTTYMZCOPZG6UR}

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	2026-07-05T10:42:05.816381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e76e08c902cfbb7ce786644e7e4dea442af3c5b02ae06f530df98009c2d4843

Aliases

arxiv: 2503.24167 · arxiv_version: 2503.24167v1 · doi: 10.48550/arxiv.2503.24167 · pith_short_12: DZ3OBDEQFT53 · pith_short_16: DZ3OBDEQFT53PTTY · pith_short_8: DZ3OBDEQ

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/DZ3OBDEQFT53PTTYMZCOPZG6UR \
  | 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: 1e76e08c902cfbb7ce786644e7e4dea442af3c5b02ae06f530df98009c2d4843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "009da16c09d636d9ed6de8d6e2903ec01e771fe800dca9dc6628b9b9d91fa80f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-03-31T14:48:48Z",
    "title_canon_sha256": "f3ef2a6dac02bc42c07067f69cd8bd70659bad65cc575d9c43b0e1fe8550d03a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.24167",
    "kind": "arxiv",
    "version": 1
  }
}