Pith Number

pith:M7HSCTHK

pith:2017:M7HSCTHK5YBMHVFV3PKSCLUCSI

not attested not anchored not stored refs pending

A rank-one CAT(0) group is determined by its Morse boundary

Devin Murray, Ruth Charney

arxiv:1707.07028 v1 · 2017-07-21 · math.GT · 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{M7HSCTHK5YBMHVFV3PKSCLUCSI}

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	2026-05-18T00:39:45.535662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67cf214ceaee02c3d4b5dbd5212e82920fcba1d95103f819f540f883c6cee130

Aliases

arxiv: 1707.07028 · arxiv_version: 1707.07028v1 · doi: 10.48550/arxiv.1707.07028 · pith_short_12: M7HSCTHK5YBM · pith_short_16: M7HSCTHK5YBMHVFV · pith_short_8: M7HSCTHK

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/M7HSCTHK5YBMHVFV3PKSCLUCSI \
  | 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: 67cf214ceaee02c3d4b5dbd5212e82920fcba1d95103f819f540f883c6cee130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88849f5b4953d7d0f35cc15c77aa92851103bf64f698472923eeb3322bb814e6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-21T19:30:10Z",
    "title_canon_sha256": "718bb1671d474c5442afac93668a57a5bf648ac8b6f1630e272aa57026891666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07028",
    "kind": "arxiv",
    "version": 1
  }
}