Pith Number

pith:6YLMXLM2

pith:2015:6YLMXLM2KJJBLIC5MLAZF5GJ3V

not attested not anchored not stored refs pending

The $R_\infty$ property for nilpotent quotients of surface groups

Daciberg Lima Goncalves, Karel Dekimpe

arxiv:1505.07974 v1 · 2015-05-29 · 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{6YLMXLM2KJJBLIC5MLAZF5GJ3V}

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	2026-05-18T02:00:00.127449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f616cbad9a525215a05d62c192f4c9dd5e1ac8ed8d874b35de35ea832b4e3ac9

Aliases

arxiv: 1505.07974 · arxiv_version: 1505.07974v1 · doi: 10.48550/arxiv.1505.07974 · pith_short_12: 6YLMXLM2KJJB · pith_short_16: 6YLMXLM2KJJBLIC5 · pith_short_8: 6YLMXLM2

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/6YLMXLM2KJJBLIC5MLAZF5GJ3V \
  | 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: f616cbad9a525215a05d62c192f4c9dd5e1ac8ed8d874b35de35ea832b4e3ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71f39dbe9d839ce40276935ec27bfaf7c46a143240c7c97f42ea9f786c6380a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-29T09:48:59Z",
    "title_canon_sha256": "a9045e7ad69cf76a70cf05cc50f34dfc90762d80b6e8635cc60d33fc9be1e761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07974",
    "kind": "arxiv",
    "version": 1
  }
}