Pith Number

pith:G25WVGMA

pith:2019:G25WVGMAHAETQP7J45V5J6U5PN

not attested not anchored not stored refs pending

Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces

Gerhard Knieper, John R. Parker, Norbert Peyerimhoff

arxiv:1904.07288 v1 · 2019-04-15 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G25WVGMAHAETQP7J45V5J6U5PN}

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	2026-05-17T23:48:29.063493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36bb6a99803809383fe9e76bd4fa9d7b72d77eed4e4f275302987c5160180e2c

Aliases

arxiv: 1904.07288 · arxiv_version: 1904.07288v1 · doi: 10.48550/arxiv.1904.07288 · pith_short_12: G25WVGMAHAET · pith_short_16: G25WVGMAHAETQP7J · pith_short_8: G25WVGMA

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/G25WVGMAHAETQP7J45V5J6U5PN \
  | 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: 36bb6a99803809383fe9e76bd4fa9d7b72d77eed4e4f275302987c5160180e2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3017d2107575081bd5e5d7f82107509cf798beedf572370666e0b124b8e873f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-15T18:54:38Z",
    "title_canon_sha256": "51f6d05db98aac8eba1c656fa9fcc745727000b8c3f9b0480db2be33fa6cee07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07288",
    "kind": "arxiv",
    "version": 1
  }
}