Pith Number

pith:CEZPRAP6

pith:2013:CEZPRAP6V76BTPZAIRDXA4CWGJ

not attested not anchored not stored refs pending

Homology equivalences of manifolds and zero-in-the-spectrum examples

Shengkui Ye

arxiv:1301.6233 v2 · 2013-01-26 · math.GT · math.AT · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEZPRAP6V76BTPZAIRDXA4CWGJ}

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	2026-05-18T02:41:42.624415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1132f881feaffc19bf2044477070563247f94a29f722964d3381c1c3f0db25cc

Aliases

arxiv: 1301.6233 · arxiv_version: 1301.6233v2 · doi: 10.48550/arxiv.1301.6233 · pith_short_12: CEZPRAP6V76B · pith_short_16: CEZPRAP6V76BTPZA · pith_short_8: CEZPRAP6

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/CEZPRAP6V76BTPZAIRDXA4CWGJ \
  | 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: 1132f881feaffc19bf2044477070563247f94a29f722964d3381c1c3f0db25cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f54bc21966d295eaf4aea1b36876274d2a54848cd2d9b22c134c787fcb85ac9",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-26T10:56:41Z",
    "title_canon_sha256": "f0a0ed4f4113611d798ff2c840915254f711cb44b0d0a99712696002df552871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6233",
    "kind": "arxiv",
    "version": 2
  }
}