Pith Number

pith:PO252WFD

pith:2016:PO252WFD3W7KJFXFIF2MOJZ6V7

not attested not anchored not stored refs pending

A generalization of the simulation theorem for semidirect products

Mathieu Sablik, Sebasti\'an Barbieri

arxiv:1608.00357 v1 · 2016-08-01 · 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{PO252WFD3W7KJFXFIF2MOJZ6V7}

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	2026-05-17T23:47:49.416715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb5dd58a3ddbea496e54174c7273eafd855213ac1c5dc2e1c651c0992fdbccc

Aliases

arxiv: 1608.00357 · arxiv_version: 1608.00357v1 · doi: 10.48550/arxiv.1608.00357 · pith_short_12: PO252WFD3W7K · pith_short_16: PO252WFD3W7KJFXF · pith_short_8: PO252WFD

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/PO252WFD3W7KJFXFIF2MOJZ6V7 \
  | 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: 7bb5dd58a3ddbea496e54174c7273eafd855213ac1c5dc2e1c651c0992fdbccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aab30ba09752eb424efd539ce9e55b66fce74920a4d7c51434d327a0a0c097a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-01T08:56:31Z",
    "title_canon_sha256": "3a7d6216c91b3babfa4cedffa480110fd226e86cd5e4512b779db67c61251fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00357",
    "kind": "arxiv",
    "version": 1
  }
}