Pith Number

pith:R3UGY7NS

pith:1992:R3UGY7NSGDWJKOGF5ILC33LTUJ

not attested not anchored not stored refs pending

Keller's cube-tiling conjecture is false in high dimensions

Jeffrey C. Lagarias, Peter W. Shor

arxiv:math/9210222 v1 · 1992-10-01 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3UGY7NSGDWJKOGF5ILC33LTUJ}

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	2026-05-18T01:05:52.510028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee86c7db230ec9538c5ea162ded73a2794dc238d2a67f59aa292ce3895f67f6

Aliases

arxiv: math/9210222 · arxiv_version: math/9210222v1 · doi: 10.48550/arxiv.math/9210222 · pith_short_12: R3UGY7NSGDWJ · pith_short_16: R3UGY7NSGDWJKOGF · pith_short_8: R3UGY7NS

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/R3UGY7NSGDWJKOGF5ILC33LTUJ \
  | 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: 8ee86c7db230ec9538c5ea162ded73a2794dc238d2a67f59aa292ce3895f67f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7544db7b53d22d2d4f77916011c2c47987fa6592b86796a047e3cb2115f81674",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1992-10-01T00:00:00Z",
    "title_canon_sha256": "cbfbcfc7218ec37cffc5d4be4fa36e97a700b6928ea2e381f9845df0d7c14bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9210222",
    "kind": "arxiv",
    "version": 1
  }
}