Pith Number

pith:5HESZGA6

pith:2025:5HESZGA64ALU2MUCQGKI72MFB4

not attested not anchored not stored refs pending

Asymptotically rigid mapping class groups of infinite graphs

Brian Udall, Jeremy West, Sanghoon Kwak, Thomas Hill

arxiv:2508.21264 v1 · 2025-08-28 · 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{5HESZGA64ALU2MUCQGKI72MFB4}

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	2026-07-05T12:01:31.306843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c92c981ee0174d328281948fe9850f0435efe61a2d5581648956db0346f2a6

Aliases

arxiv: 2508.21264 · arxiv_version: 2508.21264v1 · doi: 10.48550/arxiv.2508.21264 · pith_short_12: 5HESZGA64ALU · pith_short_16: 5HESZGA64ALU2MUC · pith_short_8: 5HESZGA6

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/5HESZGA64ALU2MUCQGKI72MFB4 \
  | 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: e9c92c981ee0174d328281948fe9850f0435efe61a2d5581648956db0346f2a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42d97a7dae13a7417621507fdc8a3fc82a8f52e736181516a320ed93dea54cd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-08-28T23:36:27Z",
    "title_canon_sha256": "ba99c709471c9e135d91d0f11366fa189d3b6067c460d8784f006a7045172e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21264",
    "kind": "arxiv",
    "version": 1
  }
}