Pith Number

pith:DWCMK4WP

pith:2012:DWCMK4WPEEYBEMW6OCCZ4JVD6X

not attested not anchored not stored refs pending

Nilpotent completions of groups, Grothendieck pairs, and four problems of Baumslag

Alan W. Reid, Martin R. Bridson

arxiv:1211.0493 v3 · 2012-11-02 · 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{DWCMK4WPEEYBEMW6OCCZ4JVD6X}

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	2026-05-18T02:29:53.730383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d84c572cf21301232de70859e26a3f5dcd1b41e7598bcca0e7ad4292bb3738d

Aliases

arxiv: 1211.0493 · arxiv_version: 1211.0493v3 · doi: 10.48550/arxiv.1211.0493 · pith_short_12: DWCMK4WPEEYB · pith_short_16: DWCMK4WPEEYBEMW6 · pith_short_8: DWCMK4WP

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/DWCMK4WPEEYBEMW6OCCZ4JVD6X \
  | 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: 1d84c572cf21301232de70859e26a3f5dcd1b41e7598bcca0e7ad4292bb3738d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69fb77d70758cc2ea4345ae6f773b3fb4ee3e56fd7000d87dfa3c9c05d345d26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-02T17:10:32Z",
    "title_canon_sha256": "c69bb22fd01aea055725b0be1237bed72cd0e9572decc344cfd9d35af833d296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0493",
    "kind": "arxiv",
    "version": 3
  }
}