Pith Number

pith:YYSOS4BW

pith:2015:YYSOS4BWCUVNG4ZTXQ2R5AKTNZ

not attested not anchored not stored refs pending

On Jones' subgroup of R. Thompson group $F$

Gili Golan, Mark Sapir

arxiv:1501.00724 v4 · 2015-01-04 · 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{YYSOS4BWCUVNG4ZTXQ2R5AKTNZ}

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	2026-05-18T02:18:40.477242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c624e97036152ad37333bc351e81536e7f5ba94c7e002521bf666a1fa878d9e5

Aliases

arxiv: 1501.00724 · arxiv_version: 1501.00724v4 · doi: 10.48550/arxiv.1501.00724 · pith_short_12: YYSOS4BWCUVN · pith_short_16: YYSOS4BWCUVNG4ZT · pith_short_8: YYSOS4BW

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/YYSOS4BWCUVNG4ZTXQ2R5AKTNZ \
  | 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: c624e97036152ad37333bc351e81536e7f5ba94c7e002521bf666a1fa878d9e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df63b38b172eff5df4633a9d8ab0c3793d51050b152af32be5cb6001319f412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-04T21:23:03Z",
    "title_canon_sha256": "510bbeb73d4c71b0d383f700b8777ad8934c4953c0a5d9a002aa5c803d3a7770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00724",
    "kind": "arxiv",
    "version": 4
  }
}