Pith Number

pith:Y4QNXC56

pith:2013:Y4QNXC56AH3VE7TCJ326VEXWTX

not attested not anchored not stored refs pending

Arbitrarily Large Residual Finiteness Growth

Brandon Seward, Khalid Bou-Rabee

arxiv:1304.1782 v1 · 2013-04-05 · 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{Y4QNXC56AH3VE7TCJ326VEXWTX}

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	2026-05-18T03:28:54.685820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c720db8bbe01f7527e624ef5ea92f69dceb86fb2538b1b28b711a2fe77a8807f

Aliases

arxiv: 1304.1782 · arxiv_version: 1304.1782v1 · doi: 10.48550/arxiv.1304.1782 · pith_short_12: Y4QNXC56AH3V · pith_short_16: Y4QNXC56AH3VE7TC · pith_short_8: Y4QNXC56

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/Y4QNXC56AH3VE7TCJ326VEXWTX \
  | 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: c720db8bbe01f7527e624ef5ea92f69dceb86fb2538b1b28b711a2fe77a8807f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb4194fe4a374a2c39ca92afc800a22efdc7bc0cb7a397e4f0382638f80d04a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-05T18:32:32Z",
    "title_canon_sha256": "3285181700629c722c718110deffcfdc291307863ea48ad8f6a46e63c54aac6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1782",
    "kind": "arxiv",
    "version": 1
  }
}