Pith Number

pith:P2FRJA2H

pith:2017:P2FRJA2HW72VM2AARXXXUN3HGY

not attested not anchored not stored refs pending

A temporal Central Limit Theorem for real-valued cocycles over rotations

Corinna Ulcigrai, Michael Bromberg

arxiv:1705.06484 v2 · 2017-05-18 · 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{P2FRJA2HW72VM2AARXXXUN3HGY}

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	2026-05-18T00:44:06.540976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e8b148347b7f55668008def7a3767362d43e2aaefb6c5cf2e3fb40bbef6ba93

Aliases

arxiv: 1705.06484 · arxiv_version: 1705.06484v2 · doi: 10.48550/arxiv.1705.06484 · pith_short_12: P2FRJA2HW72V · pith_short_16: P2FRJA2HW72VM2AA · pith_short_8: P2FRJA2H

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/P2FRJA2HW72VM2AARXXXUN3HGY \
  | 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: 7e8b148347b7f55668008def7a3767362d43e2aaefb6c5cf2e3fb40bbef6ba93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a685613f618af70499c084759756437e5e7db5cee376b5e57fb99a4aecf3e508",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-18T09:07:00Z",
    "title_canon_sha256": "8c897d59dc72155be3ac8b68ce68e3b2fbfeb5cddbcec69b0959f849938f1fe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06484",
    "kind": "arxiv",
    "version": 2
  }
}