Pith Number

pith:J3OWGFF4

pith:2025:J3OWGFF4T6IYAIVXPQUEB7DDIT

not attested not anchored not stored refs pending

Graphical small cancellation and hyperfiniteness of boundary actions

Chris Karpinski, Damian Osajda, Koichi Oyakawa

arxiv:2509.05548 v2 · 2025-09-06 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3OWGFF4T6IYAIVXPQUEB7DDIT}

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	2026-06-03T01:05:44.838030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4edd6314bc9f918022b77c2840fc6344f2602ada64815b48e5d677adef923ea2

Aliases

arxiv: 2509.05548 · arxiv_version: 2509.05548v2 · doi: 10.48550/arxiv.2509.05548 · pith_short_12: J3OWGFF4T6IY · pith_short_16: J3OWGFF4T6IYAIVX · pith_short_8: J3OWGFF4

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/J3OWGFF4T6IYAIVXPQUEB7DDIT \
  | 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: 4edd6314bc9f918022b77c2840fc6344f2602ada64815b48e5d677adef923ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5e81524e19f31fc4b4a7220943a35057ac89ae6e6e8aa70411f20069c09c51b",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-09-06T00:34:03Z",
    "title_canon_sha256": "34024fabbde6aec00937018b41467d7d147e34cd98b584e4d5beef9f2c70c9f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05548",
    "kind": "arxiv",
    "version": 2
  }
}