Pith Number

pith:GULCZ5BX

pith:2014:GULCZ5BX5WMUVV27DIVXM6OZTM

not attested not anchored not stored refs pending

Directional recurrence and directional rigidity for infinite measure preserving actions of nilpotent lattices

Alexandre I. Danilenko

arxiv:1408.1815 v1 · 2014-08-08 · 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{GULCZ5BX5WMUVV27DIVXM6OZTM}

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	2026-05-18T01:20:37.128450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35162cf437ed994ad75f1a2b7679d99b236f19326f1ce9f24226d6e81406bb1b

Aliases

arxiv: 1408.1815 · arxiv_version: 1408.1815v1 · doi: 10.48550/arxiv.1408.1815 · pith_short_12: GULCZ5BX5WMU · pith_short_16: GULCZ5BX5WMUVV27 · pith_short_8: GULCZ5BX

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/GULCZ5BX5WMUVV27DIVXM6OZTM \
  | 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: 35162cf437ed994ad75f1a2b7679d99b236f19326f1ce9f24226d6e81406bb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d875595c0745b3f3b94e23def7b60cb729938fe45c7be768ae85c50cb13fa78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-08T11:00:29Z",
    "title_canon_sha256": "ed035ee8fda95430d69deb91a067211527a12194681cfa1812406c97b3de0e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1815",
    "kind": "arxiv",
    "version": 1
  }
}