Pith Number

pith:Q3A4NCTK

pith:2002:Q3A4NCTKMM7PH6CNAPZKXIJU7I

not attested not anchored not stored refs pending

The equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds

Jonathan Rosenberg, Wolfgang Lueck

arxiv:math/0208162 v1 · 2002-08-22 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3A4NCTKMM7PH6CNAPZKXIJU7I}

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	2026-05-18T04:24:34.595166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c1c68a6a633ef3f84d03f2aba134fa10cd1ee28895f4489cd088ced7836379

Aliases

arxiv: math/0208162 · arxiv_version: math/0208162v1 · doi: 10.48550/arxiv.math/0208162 · pith_short_12: Q3A4NCTKMM7P · pith_short_16: Q3A4NCTKMM7PH6CN · pith_short_8: Q3A4NCTK

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/Q3A4NCTKMM7PH6CNAPZKXIJU7I \
  | 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: 86c1c68a6a633ef3f84d03f2aba134fa10cd1ee28895f4489cd088ced7836379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c16392273322758c322ad4b8b4e6f2d80b3ba92db55096ae677736b792d308",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-08-22T13:57:22Z",
    "title_canon_sha256": "45f85f8e1d78b0b768d6240c266c92e00021652ed60cceaef9a75a57930033f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208162",
    "kind": "arxiv",
    "version": 1
  }
}