Pith Number

pith:GXIM7BYO

pith:2009:GXIM7BYOKB4RPGQ3QFB34PLP2H

not attested not anchored not stored refs pending

Replacement of fixed sets for compact group actions: The 2\rho theorem

Min Yan, Shmuel Weinberger, Sylvain Cappell

arxiv:0909.5002 v2 · 2009-09-28 · math.GT · 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{GXIM7BYOKB4RPGQ3QFB34PLP2H}

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	2026-05-18T03:28:06.684010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d0cf870e5079179a1b8143be3d6fd1e2b2d4bc3bf59c5e8c9306309404b370

Aliases

arxiv: 0909.5002 · arxiv_version: 0909.5002v2 · doi: 10.48550/arxiv.0909.5002 · pith_short_12: GXIM7BYOKB4R · pith_short_16: GXIM7BYOKB4RPGQ3 · pith_short_8: GXIM7BYO

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/GXIM7BYOKB4RPGQ3QFB34PLP2H \
  | 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: 35d0cf870e5079179a1b8143be3d6fd1e2b2d4bc3bf59c5e8c9306309404b370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86fbc9bbd528676ff9bbfc5fb20bd625d450e2ede3ed1cd584598a719e9aca84",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-09-28T05:07:33Z",
    "title_canon_sha256": "04b7599ac5f44cb681bcebf4e651314eba0adb3807ca614bcafe2ac5b82d72a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5002",
    "kind": "arxiv",
    "version": 2
  }
}