Pith Number

pith:QPU5P55L

pith:2017:QPU5P55LXBICWVKQ4KGYJQ76LX

not attested not anchored not stored refs pending

Ergodicity of algebraic actions of nilpotent groups

Siddhartha Bhattacharya

arxiv:1706.05647 v1 · 2017-06-18 · 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{QPU5P55LXBICWVKQ4KGYJQ76LX}

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	2026-05-18T00:42:09.288210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e9d7f7abb8502b5550e28d84c3fe5deb61f1cfbf7f5fdb36a8b07ec280da55

Aliases

arxiv: 1706.05647 · arxiv_version: 1706.05647v1 · doi: 10.48550/arxiv.1706.05647 · pith_short_12: QPU5P55LXBIC · pith_short_16: QPU5P55LXBICWVKQ · pith_short_8: QPU5P55L

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/QPU5P55LXBICWVKQ4KGYJQ76LX \
  | 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: 83e9d7f7abb8502b5550e28d84c3fe5deb61f1cfbf7f5fdb36a8b07ec280da55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67324e4d89ce0c530ca2a8711d9aea3ab3a50880fea1294cc9da6a27eb8bfcda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-18T13:29:58Z",
    "title_canon_sha256": "70f1c72362de44623b1eb78a863b8ecb85c552d02f2a78743762780610fa0dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05647",
    "kind": "arxiv",
    "version": 1
  }
}