Pith Number

pith:MAIS3GSD

pith:2020:MAIS3GSDNOUAQ4SCPCBA3XS6HQ

not attested not anchored not stored refs pending

A topological equivalence relation for finitely presented groups

A. Quintero, F.F. Lasheras, M. C\'ardenas, R. Roy

arxiv:2002.01209 v1 · 2020-02-04 · 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{MAIS3GSDNOUAQ4SCPCBA3XS6HQ}

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	2026-07-05T00:38:15.893776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60112d9a436ba808724278820dde5e3c31d110e9ae950f80253c639cd638faaf

Aliases

arxiv: 2002.01209 · arxiv_version: 2002.01209v1 · doi: 10.48550/arxiv.2002.01209 · pith_short_12: MAIS3GSDNOUA · pith_short_16: MAIS3GSDNOUAQ4SC · pith_short_8: MAIS3GSD

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/MAIS3GSDNOUAQ4SCPCBA3XS6HQ \
  | 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: 60112d9a436ba808724278820dde5e3c31d110e9ae950f80253c639cd638faaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "610185c6eca13bac839c7a1f277dd5d22a3816109ab2bc9fb9e23a8304d4df08",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-02-04T10:10:35Z",
    "title_canon_sha256": "73dac9fa8c8de0ba3a6ef075361cd64090ab2d73dcb84f6d721f36251ed637d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01209",
    "kind": "arxiv",
    "version": 1
  }
}