Pith Number

pith:U2ZNPQYD

pith:2008:U2ZNPQYD5OF7MVFPDS7RYLVLYY

not attested not anchored not stored refs pending

On fake lens spaces with the fundamental group of order a power of 2

Christian Wegner, Tibor Macko

arxiv:0805.0965 v2 · 2008-05-07 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2ZNPQYD5OF7MVFPDS7RYLVLYY}

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	2026-05-18T02:41:51.652891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b2d7c303eb8bf654af1cbf1c2eabc6129abdc27ce7abf71f76f9d72f14cf5e

Aliases

arxiv: 0805.0965 · arxiv_version: 0805.0965v2 · doi: 10.48550/arxiv.0805.0965 · pith_short_12: U2ZNPQYD5OF7 · pith_short_16: U2ZNPQYD5OF7MVFP · pith_short_8: U2ZNPQYD

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/U2ZNPQYD5OF7MVFPDS7RYLVLYY \
  | 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: a6b2d7c303eb8bf654af1cbf1c2eabc6129abdc27ce7abf71f76f9d72f14cf5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364e6cfeba26acb60016e52db2a331143ea1a6ce9cf52631bb3010c70f357e36",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-05-07T12:01:48Z",
    "title_canon_sha256": "addd7c61ad37fc426df16702269dfd23c00c311d4aee4998871a62944da19b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.0965",
    "kind": "arxiv",
    "version": 2
  }
}