Pith Number

pith:3Z4IOIEU

pith:2014:3Z4IOIEU6V7BAHWQSBF7FOUPFI

not attested not anchored not stored refs pending

Groups with Context-Free Co-Word Problem and Embeddings into Thompson's Group $V$

Dana Fry, Hannah Hoganson, Heather Mathews, Johnny Gillings, Rose Berns-Zieve

arxiv:1407.7745 v2 · 2014-07-29 · 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{3Z4IOIEU6V7BAHWQSBF7FOUPFI}

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	2026-05-18T02:32:13.825940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de78872094f57e101ed0904bf2ba8f2a0fabbae2b7391db8bed71f5c4a88aee8

Aliases

arxiv: 1407.7745 · arxiv_version: 1407.7745v2 · doi: 10.48550/arxiv.1407.7745 · pith_short_12: 3Z4IOIEU6V7B · pith_short_16: 3Z4IOIEU6V7BAHWQ · pith_short_8: 3Z4IOIEU

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/3Z4IOIEU6V7BAHWQSBF7FOUPFI \
  | 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: de78872094f57e101ed0904bf2ba8f2a0fabbae2b7391db8bed71f5c4a88aee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273327e13ef520e2cf4c3e19fd1b4f22b6a900896558954fc8f339fdf70b86c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-29T14:53:12Z",
    "title_canon_sha256": "021d89fdd4d73d2407d1bc5436fbcfe39aaefe869e111f64927fa527eb864d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7745",
    "kind": "arxiv",
    "version": 2
  }
}