Pith Number

pith:P2E22URN

pith:2005:P2E22URNNBRST2LSJSPQR7FPUI

not attested not anchored not stored refs pending

Reduction of cocycles and groups of diffeomorphisms of the circle

Andr\'es Navas

arxiv:math/0508640 v2 · 2005-08-31 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2E22URNNBRST2LSJSPQR7FPUI}

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	2026-05-18T04:27:36.578697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e89ad522d686329e9724c9f08fcafa23041592204384594a63326c980710161

Aliases

arxiv: math/0508640 · arxiv_version: math/0508640v2 · doi: 10.48550/arxiv.math/0508640 · pith_short_12: P2E22URNNBRS · pith_short_16: P2E22URNNBRST2LS · pith_short_8: P2E22URN

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/P2E22URNNBRST2LSJSPQR7FPUI \
  | 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: 7e89ad522d686329e9724c9f08fcafa23041592204384594a63326c980710161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c002cc12cbc971d9db4c94785649eab3d87ea7ca68a2a3d41d6e4bdaf45313",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2005-08-31T10:31:39Z",
    "title_canon_sha256": "b982203fd315a09f1dfca1143098185a415bcba7bbf47c9f51c0735de3fb7355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508640",
    "kind": "arxiv",
    "version": 2
  }
}