Pith Number

pith:RKFZM35X

pith:2014:RKFZM35X7QCP5D4ZMI3IAFP6KZ

not attested not anchored not stored refs pending

Balanced walls for random groups

John M. Mackay, Piotr Przytycki

arxiv:1407.0332 v2 · 2014-07-01 · 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{RKFZM35X7QCP5D4ZMI3IAFP6KZ}

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	2026-05-17T23:58:31.519952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a8b966fb7fc04fe8f9962368015fe566342fc44febd769de38381265210c4a8

Aliases

arxiv: 1407.0332 · arxiv_version: 1407.0332v2 · doi: 10.48550/arxiv.1407.0332 · pith_short_12: RKFZM35X7QCP · pith_short_16: RKFZM35X7QCP5D4Z · pith_short_8: RKFZM35X

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/RKFZM35X7QCP5D4ZMI3IAFP6KZ \
  | 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: 8a8b966fb7fc04fe8f9962368015fe566342fc44febd769de38381265210c4a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49ad03e781c47b26c9b09c8684b7d5d63d67f2c673e8632e062ad8a5d94417c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-01T17:47:24Z",
    "title_canon_sha256": "c45a8a8d3e8b1ab364c56fc443079873adf8f19540f6f7cb5a700b1575562c26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0332",
    "kind": "arxiv",
    "version": 2
  }
}