Pith Number

pith:UCGVLWCM

pith:2015:UCGVLWCMPUPQFTY7RSM4DYGZX3

not attested not anchored not stored refs pending

Thompson's group F is 1-counter graph automatic

Jennifer Taback, Murray Elder

arxiv:1501.04313 v1 · 2015-01-18 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCGVLWCMPUPQFTY7RSM4DYGZX3}

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	2026-05-18T02:29:03.226311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08d55d84c7d1f02cf1f8c99c1e0d9bec6f9a3e5100f7e3f9042acd0d7fb09fa

Aliases

arxiv: 1501.04313 · arxiv_version: 1501.04313v1 · doi: 10.48550/arxiv.1501.04313 · pith_short_12: UCGVLWCMPUPQ · pith_short_16: UCGVLWCMPUPQFTY7 · pith_short_8: UCGVLWCM

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/UCGVLWCMPUPQFTY7RSM4DYGZX3 \
  | 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: a08d55d84c7d1f02cf1f8c99c1e0d9bec6f9a3e5100f7e3f9042acd0d7fb09fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24fb7785d5e27b3bbc19fe1fee579a3b19f28aef8e2483b0b865fd325f3ba69d",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-18T15:12:59Z",
    "title_canon_sha256": "86f7351df747f719b2e399013c830a3921364e7298691074ec75fc2e559a0d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04313",
    "kind": "arxiv",
    "version": 1
  }
}