Pith Number

pith:RROVVD7V

pith:2018:RROVVD7VJDD5YHSB5I7YY2UQ54

not attested not anchored not stored refs pending

Commensurators of abelian subgroups in CAT(0) groups

Jingyin Huang, Tomasz Prytu{\l}a

arxiv:1812.09035 v1 · 2018-12-21 · 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{RROVVD7VJDD5YHSB5I7YY2UQ54}

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	2026-05-17T23:57:45.582793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c5d5a8ff548c7dc1e41ea3f8c6a90ef16c94676f673e2af41a48664c700eeec

Aliases

arxiv: 1812.09035 · arxiv_version: 1812.09035v1 · doi: 10.48550/arxiv.1812.09035 · pith_short_12: RROVVD7VJDD5 · pith_short_16: RROVVD7VJDD5YHSB · pith_short_8: RROVVD7V

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/RROVVD7VJDD5YHSB5I7YY2UQ54 \
  | 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: 8c5d5a8ff548c7dc1e41ea3f8c6a90ef16c94676f673e2af41a48664c700eeec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eab0b9481a9b87b6bd90a7452b55d913176543b241e383339d7b48f527787b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-12-21T10:23:06Z",
    "title_canon_sha256": "a6594bde54c7f469b9b2b22cde142c027353b6042f29b999889a545d28cfc0f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09035",
    "kind": "arxiv",
    "version": 1
  }
}