Pith Number

pith:4LGUFGTO

pith:2016:4LGUFGTO2OCUKD6QVU5UDXHGME

not attested not anchored not stored refs pending

The generation problem in Thompson group $F$

Gili Golan

arxiv:1608.02572 v2 · 2016-08-08 · 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{4LGUFGTO2OCUKD6QVU5UDXHGME}

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	2026-07-05T02:36:41.716288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cd429a6ed385450fd0ad3b41dce6610c12cd16534f7fce516dcca676e10d50

Aliases

arxiv: 1608.02572 · arxiv_version: 1608.02572v2 · doi: 10.48550/arxiv.1608.02572 · pith_short_12: 4LGUFGTO2OCU · pith_short_16: 4LGUFGTO2OCUKD6Q · pith_short_8: 4LGUFGTO

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/4LGUFGTO2OCUKD6QVU5UDXHGME \
  | 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: e2cd429a6ed385450fd0ad3b41dce6610c12cd16534f7fce516dcca676e10d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c8c3dee520943f0149e0e80d3aeabfc476debe47635d7c3cfb00404b6cc770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-08T19:51:07Z",
    "title_canon_sha256": "0838bdcc6a7117bc798fffd2a3737efb940799cce2017e29ed2961109719a59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02572",
    "kind": "arxiv",
    "version": 2
  }
}