Pith Number

pith:OI7SM4ZW

pith:2016:OI7SM4ZWQ737ZEMWG6DPGRWUAS

not attested not anchored not stored refs pending

The structure of limit groups over hyperbolic groups

Daniel Groves, Henry Wilton

arxiv:1603.07187 v2 · 2016-03-23 · 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{OI7SM4ZWQ737ZEMWG6DPGRWUAS}

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	2026-05-18T00:44:58.115741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723f26733687f7fc91963786f346d40486760c2ad3981d28319a029a78ebb874

Aliases

arxiv: 1603.07187 · arxiv_version: 1603.07187v2 · doi: 10.48550/arxiv.1603.07187 · pith_short_12: OI7SM4ZWQ737 · pith_short_16: OI7SM4ZWQ737ZEMW · pith_short_8: OI7SM4ZW

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/OI7SM4ZWQ737ZEMWG6DPGRWUAS \
  | 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: 723f26733687f7fc91963786f346d40486760c2ad3981d28319a029a78ebb874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00b496d19a13ca825141ce3c03fbb32241914aa4060a2739125a395b0eb3e78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-23T13:59:50Z",
    "title_canon_sha256": "406bcf8214bc6d3f6edfb07f2fb8f07f373039c9e8c024e6ef350fc45a5273ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07187",
    "kind": "arxiv",
    "version": 2
  }
}