Pith Number

pith:KCTK3ZXH

pith:2010:KCTK3ZXHWMLLEHJRWPEWX4YYD2

not attested not anchored not stored refs pending

Weitzenb\"ock derivations of nilpotency 3

David L. Wehlau

arxiv:1011.0454 v3 · 2010-11-01 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCTK3ZXHWMLLEHJRWPEWX4YYD2}

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	2026-05-18T04:00:02.832081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a6ade6e7b316b21d31b3c96bf3181e9892525702e1cc2dfa86b40e5e5056c1

Aliases

arxiv: 1011.0454 · arxiv_version: 1011.0454v3 · doi: 10.48550/arxiv.1011.0454 · pith_short_12: KCTK3ZXHWMLL · pith_short_16: KCTK3ZXHWMLLEHJR · pith_short_8: KCTK3ZXH

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/KCTK3ZXHWMLLEHJRWPEWX4YYD2 \
  | 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: 50a6ade6e7b316b21d31b3c96bf3181e9892525702e1cc2dfa86b40e5e5056c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ce23328d03d4cb572f09a760c4f64029248bac67c4e0a53b514ffa8817ef6e",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-01T21:48:16Z",
    "title_canon_sha256": "f83d7d697a72494c58c74bd37b37200dc0b0d478570e7e5f35b33c4f8713487a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0454",
    "kind": "arxiv",
    "version": 3
  }
}