Pith Number

pith:GRA5E5R4

pith:2018:GRA5E5R4ZOHK57R7BZS6ZNYWDV

not attested not anchored not stored refs pending

On the existence of non-trivial laminations in $\mathbb{CP}^2$

Dheeraj Kulkarni, Divakaran Divakaran

arxiv:1805.10862 v3 · 2018-05-28 · math.DG · math.AG · math.CV · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRA5E5R4ZOHK57R7BZS6ZNYWDV}

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	2026-05-18T00:10:10.128237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3441d2763ccb8eaefe3f0e65ecb7161d58cb4a3f06074511e4e433c0d98c851a

Aliases

arxiv: 1805.10862 · arxiv_version: 1805.10862v3 · doi: 10.48550/arxiv.1805.10862 · pith_short_12: GRA5E5R4ZOHK · pith_short_16: GRA5E5R4ZOHK57R7 · pith_short_8: GRA5E5R4

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/GRA5E5R4ZOHK57R7BZS6ZNYWDV \
  | 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: 3441d2763ccb8eaefe3f0e65ecb7161d58cb4a3f06074511e4e433c0d98c851a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee2465619f6ba6edbbd1bb00ce58f91bbc5050daef14093fc7f580e6e1bd4f6f",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV",
      "math.DS",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-05-28T10:49:06Z",
    "title_canon_sha256": "e445efac682dcc3fb35db13efec8da3141f441dd3af1fd91b6952ca3645c1196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10862",
    "kind": "arxiv",
    "version": 3
  }
}