Pith Number

pith:Z3ZDU2QW

pith:2010:Z3ZDU2QWZEYNMPK2XWEL63KWXW

not attested not anchored not stored refs pending

On Arnold's and Kazhdan's equidistribution problems

Alexander Gorodnik, Amos Nevo

arxiv:1009.5076 v1 · 2010-09-26 · 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{Z3ZDU2QWZEYNMPK2XWEL63KWXW}

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	2026-05-18T04:40:19.261840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef23a6a16c930d63d5abd88bf6d56bdbfc457628d8a17398056f73b3f43cb3b

Aliases

arxiv: 1009.5076 · arxiv_version: 1009.5076v1 · doi: 10.48550/arxiv.1009.5076 · pith_short_12: Z3ZDU2QWZEYN · pith_short_16: Z3ZDU2QWZEYNMPK2 · pith_short_8: Z3ZDU2QW

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/Z3ZDU2QWZEYNMPK2XWEL63KWXW \
  | 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: cef23a6a16c930d63d5abd88bf6d56bdbfc457628d8a17398056f73b3f43cb3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8464f40d49e64722f29b7306ef4664d02be8d2b6565fe60ed27dd566a9ab85c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-26T09:13:31Z",
    "title_canon_sha256": "591a9a1e80aa4f3499e276eca154696b403c82f53634c12d48737a11fd72bc9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5076",
    "kind": "arxiv",
    "version": 1
  }
}