Pith Number

pith:A232C7OA

pith:2025:A232C7OAEE3ADUZLINIFT5KFQS

not attested not anchored not stored refs pending

Power quotients of surface groups and mapping class groups

Alessandro Sisto, Henry Wilton, R\'emi Coulon

arxiv:2507.13701 v2 · 2025-07-18 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A232C7OAEE3ADUZLINIFT5KFQS}

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	2026-07-05T12:09:21.676265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b7a17dc0213601d32b435059f545849f94b8207cc8ac97da6bb69473a82dd1

Aliases

arxiv: 2507.13701 · arxiv_version: 2507.13701v2 · doi: 10.48550/arxiv.2507.13701 · pith_short_12: A232C7OAEE3A · pith_short_16: A232C7OAEE3ADUZL · pith_short_8: A232C7OA

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/A232C7OAEE3ADUZLINIFT5KFQS \
  | 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: 06b7a17dc0213601d32b435059f545849f94b8207cc8ac97da6bb69473a82dd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a4b0b9893dc0235cefa8d2373ae9b23ad2633cf16e25bed7fd13a7894dbd75c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-07-18T07:10:21Z",
    "title_canon_sha256": "d0ee7cea82e9d0aee570bc3a6f514de4296d3ae77d6ef23de9559fde3077a0ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13701",
    "kind": "arxiv",
    "version": 2
  }
}