Pith Number

pith:GXA72WRJ

pith:2026:GXA72WRJHICH63US7AXH33TWWY

not attested not anchored not stored refs pending

Polar homogeneous foliations on symmetric spaces of rank one

Jos\'e Carlos D\'iaz-Ramos, Juan Manuel Lorenzo-Naveiro

arxiv:2606.27912 v1 · 2026-06-26 · 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{GXA72WRJHICH63US7AXH33TWWY}

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	2026-06-29T01:14:52.366987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c1fd5a293a047f6e92f82e7dee76b603c627225087b179eb53e14efa5e0b1f

Aliases

arxiv: 2606.27912 · arxiv_version: 2606.27912v1 · doi: 10.48550/arxiv.2606.27912 · pith_short_12: GXA72WRJHICH · pith_short_16: GXA72WRJHICH63US · pith_short_8: GXA72WRJ

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/GXA72WRJHICH63US7AXH33TWWY \
  | 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: 35c1fd5a293a047f6e92f82e7dee76b603c627225087b179eb53e14efa5e0b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c119018ce729294ffae041c5404472a346337d644e50c4ce778f37c31554dc81",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-26T10:02:56Z",
    "title_canon_sha256": "48a71b2cf7039e626e2cea6eb92ce1ada921c8fa5694a8f4f1cfd09200a51dc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27912",
    "kind": "arxiv",
    "version": 1
  }
}