Pith Number

pith:UKTCQMR2

pith:2013:UKTCQMR2GGDDYY7S6DQ6TOJAXP

not attested not anchored not stored refs pending

On the ergodic theory of free group actions by real-analytic circle diffeomorphisms

Andr\'es Navas, Bertrand Deroin, Victor Kleptsyn

arxiv:1312.4133 v3 · 2013-12-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKTCQMR2GGDDYY7S6DQ6TOJAXP}

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	2026-05-18T01:00:40.860509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a628323a31863c63f2f0e1e9b920bbe8180b6b57c61790f386c6d1f4160c87

Aliases

arxiv: 1312.4133 · arxiv_version: 1312.4133v3 · doi: 10.48550/arxiv.1312.4133 · pith_short_12: UKTCQMR2GGDD · pith_short_16: UKTCQMR2GGDDYY7S · pith_short_8: UKTCQMR2

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/UKTCQMR2GGDDYY7S6DQ6TOJAXP \
  | 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: a2a628323a31863c63f2f0e1e9b920bbe8180b6b57c61790f386c6d1f4160c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69ad9567391852086880d7fb52226bbe689f8fff76f96213f147fde77dd3e3c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-15T11:01:47Z",
    "title_canon_sha256": "2ef6d0a7f6b7d5f3a52722b81e606f72c22673d8666573ca569f4ba649f2ae96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4133",
    "kind": "arxiv",
    "version": 3
  }
}