Pith Number

pith:3GYGLKUG

pith:2013:3GYGLKUGBCF3L2CTZWIG7F6UG7

not attested not anchored not stored refs pending

Modules with irrational slope over tubular algebras

Mike Prest, Richard Harland

arxiv:1302.6763 v2 · 2013-02-27 · math.RT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GYGLKUGBCF3L2CTZWIG7F6UG7}

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	2026-05-18T01:53:09.886190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9b065aa86088bb5e853cd906f97d437f74d09b3233f52f12b78a10f0222a0a4

Aliases

arxiv: 1302.6763 · arxiv_version: 1302.6763v2 · doi: 10.48550/arxiv.1302.6763 · pith_short_12: 3GYGLKUGBCF3 · pith_short_16: 3GYGLKUGBCF3L2CT · pith_short_8: 3GYGLKUG

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/3GYGLKUGBCF3L2CTZWIG7F6UG7 \
  | 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: d9b065aa86088bb5e853cd906f97d437f74d09b3233f52f12b78a10f0222a0a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b98cf2ac5215f00dca18df5d12ed56d2e0b23067838ee44b569fd3d497cd4bd",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-02-27T13:31:15Z",
    "title_canon_sha256": "7fd3d208bfc31d1dc41cc3d93dab7d83021d6ff26194ba09e58e3a89633f78ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6763",
    "kind": "arxiv",
    "version": 2
  }
}