Pith Number

pith:YZKKRDKI

pith:2010:YZKKRDKIRYVSIBLQUBWEWW5NJU

not attested not anchored not stored refs pending

Small covers and the equivariant bordism classification of 2-torus manifolds

Qiangbo Tan, Zhi L\"u

arxiv:1008.2166 v4 · 2010-08-12 · math.AT · math.CO · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZKKRDKIRYVSIBLQUBWEWW5NJU}

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	2026-05-18T02:31:27.803206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c654a88d488e2b240570a06c4b5bad4d2902bd602ab984c4b0836b0f3fdfa207

Aliases

arxiv: 1008.2166 · arxiv_version: 1008.2166v4 · doi: 10.48550/arxiv.1008.2166 · pith_short_12: YZKKRDKIRYVS · pith_short_16: YZKKRDKIRYVSIBLQ · pith_short_8: YZKKRDKI

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/YZKKRDKIRYVSIBLQUBWEWW5NJU \
  | 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: c654a88d488e2b240570a06c4b5bad4d2902bd602ab984c4b0836b0f3fdfa207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d24364143c779fedf5bb3b94cf4f1babafdaf657561ab696d09cbb2092ea943e",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-08-12T17:23:08Z",
    "title_canon_sha256": "b90926643702f1b1c4edde7752e5060168f4cb0d03df643bdac6ab418dea40de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2166",
    "kind": "arxiv",
    "version": 4
  }
}