Pith Number

pith:WUNCLY24

pith:2025:WUNCLY24WWOOJPFXPISADFDYJG

not attested not anchored not stored refs pending

Relative Untwisted Outer Space for Right-Angled Artin Groups

Adrien Abgrall

arxiv:2503.09588 v1 · 2025-03-12 · 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{WUNCLY24WWOOJPFXPISADFDYJG}

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.

Cited by

1 paper in Pith

The McCullough-Miller complex for right angled Artin groups

Receipt and verification

First computed	2026-07-05T10:29:58.703055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51a25e35cb59ce4bcb77a240194784994f154aa6b56433a38a57d344177fb21

Aliases

arxiv: 2503.09588 · arxiv_version: 2503.09588v1 · doi: 10.48550/arxiv.2503.09588 · pith_short_12: WUNCLY24WWOO · pith_short_16: WUNCLY24WWOOJPFX · pith_short_8: WUNCLY24

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/WUNCLY24WWOOJPFXPISADFDYJG \
  | 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: b51a25e35cb59ce4bcb77a240194784994f154aa6b56433a38a57d344177fb21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20a5ab9272ef423781a24d9a941cdc17cb9c9005e32bdd9fb0ae43c9f5ea2895",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-03-12T17:57:03Z",
    "title_canon_sha256": "92b6909710bed4b6fc9b753eb75f780346d9c09ec5351c9b84bfabada3f4921d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.09588",
    "kind": "arxiv",
    "version": 1
  }
}