Pith Number

pith:GUWZ67ZM

pith:2019:GUWZ67ZMF2LH3KYDLVEF7JEF3Z

not attested not anchored not stored refs pending

Twisted Translation Flows and Effective Weak Mixing

Giovanni Forni

arxiv:1908.11040 v2 · 2019-08-29 · 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{GUWZ67ZMF2LH3KYDLVEF7JEF3Z}

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	2026-07-05T02:58:02.985179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

352d9f7f2c2e967dab035d485fa485de5356b51d7a2f096ecc5c75b253f29580

Aliases

arxiv: 1908.11040 · arxiv_version: 1908.11040v2 · doi: 10.48550/arxiv.1908.11040 · pith_short_12: GUWZ67ZMF2LH · pith_short_16: GUWZ67ZMF2LH3KYD · pith_short_8: GUWZ67ZM

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/GUWZ67ZMF2LH3KYDLVEF7JEF3Z \
  | 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: 352d9f7f2c2e967dab035d485fa485de5356b51d7a2f096ecc5c75b253f29580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86fc0c047f9217ef3ddd11a6af451268726cd2bdf8120748c6101e5fb7eaf825",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-29T04:02:13Z",
    "title_canon_sha256": "e410a41cf0a6334a387c5b25b8ebc0357a5ff1efed13c0965e66a801a6bcf76e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11040",
    "kind": "arxiv",
    "version": 2
  }
}