Pith Number

pith:2NGWJVOU

pith:2016:2NGWJVOUU6XZSAPM6QLFYSLMYD

not attested not anchored not stored refs pending

Groups of piecewise isometric permutations of lattice points

Heike Sach, Robert Bieri

arxiv:1606.07728 v1 · 2016-06-24 · 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{2NGWJVOUU6XZSAPM6QLFYSLMYD}

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	2026-05-18T01:11:55.816492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34d64d5d4a7af9901ecf4165c496cc0ce4f890aa64eefde770fc987e750f779

Aliases

arxiv: 1606.07728 · arxiv_version: 1606.07728v1 · doi: 10.48550/arxiv.1606.07728 · pith_short_12: 2NGWJVOUU6XZ · pith_short_16: 2NGWJVOUU6XZSAPM · pith_short_8: 2NGWJVOU

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/2NGWJVOUU6XZSAPM6QLFYSLMYD \
  | 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: d34d64d5d4a7af9901ecf4165c496cc0ce4f890aa64eefde770fc987e750f779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ae241760a062698f2bc54324be211bfa84819ce2ce1e5aafc78c9f33204637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-24T15:51:43Z",
    "title_canon_sha256": "57861011286b0fbfeb2d5912061602e95268d33605497a2c4ce1bf7cac7e6dca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07728",
    "kind": "arxiv",
    "version": 1
  }
}