Pith Number

pith:U3IDXXSX

pith:2018:U3IDXXSXFFO7FFMTLI6RBOPQX7

not attested not anchored not stored refs pending

Discrete groups without finite quotients

Juan Souto, Tommaso Cremaschi

arxiv:1804.01047 v1 · 2018-04-03 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3IDXXSXFFO7FFMTLI6RBOPQX7}

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	2026-05-18T00:19:31.462701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6d03bde57295df295935a3d10b9f0bfed17195ec61e150baeee43b65e68ac6d

Aliases

arxiv: 1804.01047 · arxiv_version: 1804.01047v1 · doi: 10.48550/arxiv.1804.01047 · pith_short_12: U3IDXXSXFFO7 · pith_short_16: U3IDXXSXFFO7FFMT · pith_short_8: U3IDXXSX

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/U3IDXXSXFFO7FFMTLI6RBOPQX7 \
  | 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: a6d03bde57295df295935a3d10b9f0bfed17195ec61e150baeee43b65e68ac6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f238c7475518ecdebc23b47601ce795f955c8e069fe723088cb99a7d257a06b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-03T15:56:27Z",
    "title_canon_sha256": "9d3790798826a2ec0d8127e0fe8539a7aec7c49de0f3c7b8695badb6d1925624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01047",
    "kind": "arxiv",
    "version": 1
  }
}