Pith Number

pith:CVQNFRXF

pith:2013:CVQNFRXFXMURR3QD74UJUCHUB5

not attested not anchored not stored refs pending

The domino problem on groups of polynomial growth

Alexis Ballier, Maya Stein

arxiv:1311.4222 v4 · 2013-11-17 · 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{CVQNFRXFXMURR3QD74UJUCHUB5}

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	2026-05-18T00:26:09.177113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1560d2c6e5bb2918ee03ff289a08f40f66b5c91d41a0ba5d0d8f7cdce7192254

Aliases

arxiv: 1311.4222 · arxiv_version: 1311.4222v4 · doi: 10.48550/arxiv.1311.4222 · pith_short_12: CVQNFRXFXMUR · pith_short_16: CVQNFRXFXMURR3QD · pith_short_8: CVQNFRXF

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/CVQNFRXFXMURR3QD74UJUCHUB5 \
  | 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: 1560d2c6e5bb2918ee03ff289a08f40f66b5c91d41a0ba5d0d8f7cdce7192254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c383f930d672ed836c8d5f8383ea2cae00025e1ad30080fdc74ed6b7fd3060bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-17T21:45:30Z",
    "title_canon_sha256": "a8979d35630319a5b4f15d70f7a6425553b8c4e510a7e71ef569655e0325a07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4222",
    "kind": "arxiv",
    "version": 4
  }
}