Pith Number

pith:ONFJI4J6

pith:2017:ONFJI4J6SIWVAM34BFQ4D4X5MB

not attested not anchored not stored refs pending

Two-chains and square roots of Thompson's group $F$

Thomas Koberda, Yash Lodha

arxiv:1704.03112 v2 · 2017-04-11 · math.GR · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONFJI4J6SIWVAM34BFQ4D4X5MB}

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	2026-05-17T23:55:43.316412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

734a94713e922d50337c0961c1f2fd60671e54e272a5b109f64bb17ad25189e9

Aliases

arxiv: 1704.03112 · arxiv_version: 1704.03112v2 · doi: 10.48550/arxiv.1704.03112 · pith_short_12: ONFJI4J6SIWV · pith_short_16: ONFJI4J6SIWVAM34 · pith_short_8: ONFJI4J6

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/ONFJI4J6SIWVAM34BFQ4D4X5MB \
  | 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: 734a94713e922d50337c0961c1f2fd60671e54e272a5b109f64bb17ad25189e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14de100d89b637cf5c1422085fce315a2f7f56bf770867de71ead19fd98f0bb",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-11T01:50:32Z",
    "title_canon_sha256": "5fdb4342451eac819fbdce6c4a292ac50ae1b7a794d511ec312caf7c790c2f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03112",
    "kind": "arxiv",
    "version": 2
  }
}