Pith Number

pith:XJ3QY2UD

pith:2006:XJ3QY2UDVAB6VVVVTCQ5ZYIJTO

not attested not anchored not stored refs pending

Groups of Circle Diffeomorphisms

Andr\'es Navas

arxiv:math/0607481 v3 · 2006-07-19 · math.DS · 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{XJ3QY2UDVAB6VVVVTCQ5ZYIJTO}

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.

Cited by

1 paper in Pith

Actions of lattices in $S$-arithmetic groups on manifolds

Receipt and verification

First computed	2026-07-04T15:42:58.253510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba770c6a83a803ead6b598a1dce1099baa359b4ee6dab3a9f19b2c5524e64c2f

Aliases

arxiv: math/0607481 · arxiv_version: math/0607481v3 · doi: 10.48550/arxiv.math/0607481 · pith_short_12: XJ3QY2UDVAB6 · pith_short_16: XJ3QY2UDVAB6VVVV · pith_short_8: XJ3QY2UD

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/XJ3QY2UDVAB6VVVVTCQ5ZYIJTO \
  | 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: ba770c6a83a803ead6b598a1dce1099baa359b4ee6dab3a9f19b2c5524e64c2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf652e607d0b86fa20a4f4ad087a187024a364280ed1af5087c408f3d96fde2c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2006-07-19T23:04:17Z",
    "title_canon_sha256": "cdc0394f6d28acdad3420cd91225cb4465a55bdbf70a8bbf9d1ed286c63323b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607481",
    "kind": "arxiv",
    "version": 3
  }
}