Pith Number

pith:IPHD4GJR

pith:2026:IPHD4GJRY4EKDK6DIWEXZHKKV4

not attested not anchored not stored refs pending

A graph-theoretical characterisation of subgroups of Thompson's group $V$

Corentin Bodart, Daniele D'Angeli, Davide Perego, Emanuele Rodaro

arxiv:2608.02111 v1 · 2026-08-03 · math.GR · cs.FL · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPHD4GJRY4EKDK6DIWEXZHKKV4}

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	2026-08-04T02:10:54.522938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ce3e1931c708a1abc345897c9d4aaf2b1db288cb9e7a37a811c4eb0b3e2086

Aliases

arxiv: 2608.02111 · arxiv_version: 2608.02111v1 · doi: 10.48550/arxiv.2608.02111 · pith_short_12: IPHD4GJRY4EK · pith_short_16: IPHD4GJRY4EKDK6D · pith_short_8: IPHD4GJR

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/IPHD4GJRY4EKDK6DIWEXZHKKV4 \
  | 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: 43ce3e1931c708a1abc345897c9d4aaf2b1db288cb9e7a37a811c4eb0b3e2086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c91400f1f10f8293c912f6a5db996d6e87893c01405c4d29e6d03c1854b098d8",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-03T12:10:26Z",
    "title_canon_sha256": "0bb91a9a6a1b3285176dc59da60fe26931edcaddbd775df037b0534e64254c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02111",
    "kind": "arxiv",
    "version": 1
  }
}