Pith Number

pith:J6NNTKIE

pith:2014:J6NNTKIEN53LPZKZVVFUILGUKC

not attested not anchored not stored refs pending

A computational approach to the Thompson group $F$

M. Ramirez-Solano, S. Haagerup, U. Haagerup

arxiv:1409.1486 v3 · 2014-09-04 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6NNTKIEN53LPZKZVVFUILGUKC}

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	2026-05-18T02:27:50.989823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f9ad9a9046f76b7e559ad4b442cd450af6c16d3223df219375bfad7222c6e52

Aliases

arxiv: 1409.1486 · arxiv_version: 1409.1486v3 · doi: 10.48550/arxiv.1409.1486 · pith_short_12: J6NNTKIEN53L · pith_short_16: J6NNTKIEN53LPZKZ · pith_short_8: J6NNTKIE

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/J6NNTKIEN53LPZKZVVFUILGUKC \
  | 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: 4f9ad9a9046f76b7e559ad4b442cd450af6c16d3223df219375bfad7222c6e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f409bc7921b2e2f2ae4590fe90b5fb60fa35936d36ff30297c1fdf53f4a22e5",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-04T16:44:49Z",
    "title_canon_sha256": "e4fdfca638bbb689d48fe6cf7e5ad73515a12ab2b07a68be869e62068a219f92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1486",
    "kind": "arxiv",
    "version": 3
  }
}