Pith Number

pith:S2DQFS7H

pith:2011:S2DQFS7H5KCHV7WPUYOWZHE5OJ

not attested not anchored not stored refs pending

Homogeneous orbit closures and applications

Elon Lindenstrauss, Uri Shapira

arxiv:1101.3945 v1 · 2011-01-20 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2DQFS7H5KCHV7WPUYOWZHE5OJ}

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	2026-05-18T04:31:20.797463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968702cbe7ea847afecfa61d6c9c9d727579733e97e50ddd1b3cee7f41274d46

Aliases

arxiv: 1101.3945 · arxiv_version: 1101.3945v1 · doi: 10.48550/arxiv.1101.3945 · pith_short_12: S2DQFS7H5KCH · pith_short_16: S2DQFS7H5KCHV7WP · pith_short_8: S2DQFS7H

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/S2DQFS7H5KCHV7WPUYOWZHE5OJ \
  | 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: 968702cbe7ea847afecfa61d6c9c9d727579733e97e50ddd1b3cee7f41274d46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59ea2f46ba483f9175fa2875a3857a397ee9500e037deb53ab3e857ac9679f0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-20T16:22:40Z",
    "title_canon_sha256": "1c8d7f747a366f51e28066774093bb69c872517efee3ada7970cdb5348c94fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3945",
    "kind": "arxiv",
    "version": 1
  }
}