Pith Number

pith:IROJBPMH

pith:2026:IROJBPMH5HR5J7WFWYZHTWHRFF

not attested not anchored not stored refs pending

Action graphs, semiconjugacy, and non-embedding in Thompson's group $V$

James Hyde, Matthew C. B. Zaremsky, Rachel Skipper

arxiv:2605.20564 v1 · 2026-05-19 · 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{IROJBPMH5HR5J7WFWYZHTWHRFF}

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	2026-05-21T01:04:42.602062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

445c90bd87e9e3d4fec5b63279d8f12978bde811038e1be80abe0e9d99edbd04

Aliases

arxiv: 2605.20564 · arxiv_version: 2605.20564v1 · doi: 10.48550/arxiv.2605.20564 · pith_short_12: IROJBPMH5HR5 · pith_short_16: IROJBPMH5HR5J7WF · pith_short_8: IROJBPMH

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/IROJBPMH5HR5J7WFWYZHTWHRFF \
  | 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: 445c90bd87e9e3d4fec5b63279d8f12978bde811038e1be80abe0e9d99edbd04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82fb9e3babc55ad7f3a5565be01899b8708f4d8678cb4020e49693759862279d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-19T23:48:07Z",
    "title_canon_sha256": "b9cf17285faecdd988d4980079045d985ca58ae8924eaa26aa10e604d6031609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20564",
    "kind": "arxiv",
    "version": 1
  }
}