Pith Number

pith:XHM6NGA4

pith:2024:XHM6NGA4ZKTMJWUZJGYTDJKNLQ

not attested not anchored not stored refs pending

Automorphisms of the sphere complex of an infinite graph

Brian Udall, George Shaji, Michael C. Kopreski, Rebecca Rechkin, Thomas Hill

arxiv:2410.06531 v1 · 2024-10-09 · 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{XHM6NGA4ZKTMJWUZJGYTDJKNLQ}

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

Asymptotically rigid mapping class groups of infinite graphs

Receipt and verification

First computed	2026-07-05T09:18:03.460513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d9e6981ccaa6c4da9949b131a54d5c1ec4d4aa1fa766199bd038009bec45aa

Aliases

arxiv: 2410.06531 · arxiv_version: 2410.06531v1 · doi: 10.48550/arxiv.2410.06531 · pith_short_12: XHM6NGA4ZKTM · pith_short_16: XHM6NGA4ZKTMJWUZ · pith_short_8: XHM6NGA4

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/XHM6NGA4ZKTMJWUZJGYTDJKNLQ \
  | 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: b9d9e6981ccaa6c4da9949b131a54d5c1ec4d4aa1fa766199bd038009bec45aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11abcf9cd0026c1b66bbcf1bf0ee4095dcf5185d69031921524e01b89331635e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-10-09T04:09:20Z",
    "title_canon_sha256": "e2db5b4334de95382ad559ef48514016f920203c823f52e380ce7f50302783d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.06531",
    "kind": "arxiv",
    "version": 1
  }
}