Pith Number

pith:BHWWMK7G

pith:2023:BHWWMK7G3WK6ICR6YOWQN4FIOQ

not attested not anchored not stored refs pending

On groups with Schottky set boundary

Genevieve Walsh, Luisa Paoluzzi, Peter Ha\"issinsky

arxiv:2309.08735 v3 · 2023-09-15 · 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{BHWWMK7G3WK6ICR6YOWQN4FIOQ}

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	2026-05-20T00:02:45.262687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ed662be6dd95e40a3ec3ad06f0a87428bc93eae9a81292d0e930a7089f69f9

Aliases

arxiv: 2309.08735 · arxiv_version: 2309.08735v3 · doi: 10.48550/arxiv.2309.08735 · pith_short_12: BHWWMK7G3WK6 · pith_short_16: BHWWMK7G3WK6ICR6 · pith_short_8: BHWWMK7G

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/BHWWMK7G3WK6ICR6YOWQN4FIOQ \
  | 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: 09ed662be6dd95e40a3ec3ad06f0a87428bc93eae9a81292d0e930a7089f69f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6529be627f975b9ae376a8e6d072a4bd265f44938d9971ed6ec45156d027d868",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-09-15T19:52:52Z",
    "title_canon_sha256": "01df82e73e3c4f10ef2b4066333f240243e589e458acecdc85d65bfa6570e6c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.08735",
    "kind": "arxiv",
    "version": 3
  }
}