Pith Number

pith:7DBCY3XD

pith:2016:7DBCY3XDKYTGEDM4UYFPRW326X

not attested not anchored not stored refs pending

The graph structure of graph groups that are subgroups of Thompson's group $V$

Kathryn Haymaker, Nathan Corwin

arxiv:1603.08433 v1 · 2016-03-28 · 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{7DBCY3XDKYTGEDM4UYFPRW326X}

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	2026-05-18T01:18:10.750386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8c22c6ee35626620d9ca60af8db7af5d86c14f8fecf1b2442c30fc39b5d334d

Aliases

arxiv: 1603.08433 · arxiv_version: 1603.08433v1 · doi: 10.48550/arxiv.1603.08433 · pith_short_12: 7DBCY3XDKYTG · pith_short_16: 7DBCY3XDKYTGEDM4 · pith_short_8: 7DBCY3XD

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/7DBCY3XDKYTGEDM4UYFPRW326X \
  | 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: f8c22c6ee35626620d9ca60af8db7af5d86c14f8fecf1b2442c30fc39b5d334d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1b910871beac68fe847bc927922c9a91cbaa36a18c4fb109938ec56e6926467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-28T16:37:58Z",
    "title_canon_sha256": "986090d11838e61428aed191bc0dcb5ff74a7d56733ddda266d7c91be40b4983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08433",
    "kind": "arxiv",
    "version": 1
  }
}