Pith Number

pith:VFDH5NJV

pith:2014:VFDH5NJV6JEL4CH6QKBPXWKORG

not attested not anchored not stored refs pending

Some ergodic and rigidity properties of discrete Heisenberg group actions

Enhui Shi, Huyi Hu, Zhenqi Jenny Wang

arxiv:1405.1120 v1 · 2014-05-06 · 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{VFDH5NJV6JEL4CH6QKBPXWKORG}

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	2026-05-18T02:52:33.441028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9467eb535f248be08fe8282fbd94e89becccfc95040ceff9ad1d6b7018c06c9

Aliases

arxiv: 1405.1120 · arxiv_version: 1405.1120v1 · doi: 10.48550/arxiv.1405.1120 · pith_short_12: VFDH5NJV6JEL · pith_short_16: VFDH5NJV6JEL4CH6 · pith_short_8: VFDH5NJV

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/VFDH5NJV6JEL4CH6QKBPXWKORG \
  | 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: a9467eb535f248be08fe8282fbd94e89becccfc95040ceff9ad1d6b7018c06c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf47c7292aaa9b74299030ad3924d059d37a22fb552415513185a5aa400b5aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-06T01:19:46Z",
    "title_canon_sha256": "8a30a291bad19569fabd34f8c53c2f6eb552cde784a7824fe0a3725af0a7c056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1120",
    "kind": "arxiv",
    "version": 1
  }
}