Pith Number

pith:2JCPMZFB

pith:2018:2JCPMZFBZHK3STNYURWI4VYTWS

not attested not anchored not stored refs pending

Almost-crystallographic groups as quotients of Artin braid groups

CNRS, Daciberg Lima Gon\c{c}alves (IME, John Guaschi (LMNO, NU), Oscar Ocampo (UFBA), UNICAEN, USP)

arxiv:1805.11376 v2 · 2018-05-29 · math.GT · 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{2JCPMZFBZHK3STNYURWI4VYTWS}

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	2026-05-18T00:14:13.424906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d244f664a1c9d5b94db8a46c8e5713b49a6dbc4405e3d30cde0e7656934b3afe

Aliases

arxiv: 1805.11376 · arxiv_version: 1805.11376v2 · doi: 10.48550/arxiv.1805.11376 · pith_short_12: 2JCPMZFBZHK3 · pith_short_16: 2JCPMZFBZHK3STNY · pith_short_8: 2JCPMZFB

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/2JCPMZFBZHK3STNYURWI4VYTWS \
  | 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: d244f664a1c9d5b94db8a46c8e5713b49a6dbc4405e3d30cde0e7656934b3afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd473e022e6a8468a9db40d60a485f527f59f627ed36f6410a1b406493756c4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-29T12:04:39Z",
    "title_canon_sha256": "53b662f7fc0c5dbed56127ddd9aa6966b3a03a5ddc6301cd41bfc0df080d3ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11376",
    "kind": "arxiv",
    "version": 2
  }
}