Pith Number

pith:JZXJL5TD

pith:2014:JZXJL5TDHH5KX5NSQ6EHCF3UQD

not attested not anchored not stored refs pending

Invariant measures for solvable groups and diophantine approximation

Barak Weiss, Ronggang Shi

arxiv:1409.0097 v1 · 2014-08-30 · 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{JZXJL5TDHH5KX5NSQ6EHCF3UQD}

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	2026-05-18T02:43:53.372006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e6e95f66339faabf5b2878871177480d94dcde3bf74b58b2280b96b82075fca

Aliases

arxiv: 1409.0097 · arxiv_version: 1409.0097v1 · doi: 10.48550/arxiv.1409.0097 · pith_short_12: JZXJL5TDHH5K · pith_short_16: JZXJL5TDHH5KX5NS · pith_short_8: JZXJL5TD

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/JZXJL5TDHH5KX5NSQ6EHCF3UQD \
  | 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: 4e6e95f66339faabf5b2878871177480d94dcde3bf74b58b2280b96b82075fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5018fa3fbfc782fa503c5ed421d1a4995db9ae5f79b85acaa8c459c52651cb2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-30T09:53:22Z",
    "title_canon_sha256": "6f9e2bb83a5d6696260186afdc122600db836246950585bf6c05d18612caccbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0097",
    "kind": "arxiv",
    "version": 1
  }
}