Pith Number

pith:XU64IGZO

pith:2019:XU64IGZO4LNZUS4ZFNDCOVISWK

not attested not anchored not stored refs pending

Erratum and addenda to "Isometry groups of non-positively curved spaces: discrete subgroups"

Nicolas Monod, Pierre-Emmanuel Caprace

arxiv:1908.10216 v2 · 2019-08-26 · math.GR · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XU64IGZO4LNZUS4ZFNDCOVISWK}

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	2026-07-05T00:00:16.535818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd3dc41b2ee2db9a4b992b46275512b2bd730e320d1d9ce55776deb6baf9a6f2

Aliases

arxiv: 1908.10216 · arxiv_version: 1908.10216v2 · doi: 10.48550/arxiv.1908.10216 · pith_short_12: XU64IGZO4LNZ · pith_short_16: XU64IGZO4LNZUS4Z · pith_short_8: XU64IGZO

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/XU64IGZO4LNZUS4ZFNDCOVISWK \
  | 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: bd3dc41b2ee2db9a4b992b46275512b2bd730e320d1d9ce55776deb6baf9a6f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b2d28a02af871c40a97d13fa6a5427e296a0d8c57de53fcb38abded4d96e9e4",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-26T14:31:05Z",
    "title_canon_sha256": "cedfe2adc797f82b4270a7f1f81d586f0d4dd81a86e9706db0979c78f6fbd2e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10216",
    "kind": "arxiv",
    "version": 2
  }
}