Pith Number

pith:4GLFYBXB

pith:2017:4GLFYBXBQ3BA6VAHWNFK2OWBBC

not attested not anchored not stored refs pending

Projective invariants of linear 3-webs and Gronwall's Conjecture

Sergey I. Agafonov

arxiv:1708.01996 v2 · 2017-08-07 · 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{4GLFYBXBQ3BA6VAHWNFK2OWBBC}

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.

Cited by

1 paper in Pith

A step to Gronwall's conjecture

Receipt and verification

First computed	2026-05-17T23:52:18.939806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1965c06e186c20f5407b34aad3ac108ba5f2d1fd4e0567c7a3df6aa23eedf83

Aliases

arxiv: 1708.01996 · arxiv_version: 1708.01996v2 · doi: 10.48550/arxiv.1708.01996 · pith_short_12: 4GLFYBXBQ3BA · pith_short_16: 4GLFYBXBQ3BA6VAH · pith_short_8: 4GLFYBXB

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/4GLFYBXBQ3BA6VAHWNFK2OWBBC \
  | 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: e1965c06e186c20f5407b34aad3ac108ba5f2d1fd4e0567c7a3df6aa23eedf83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f19432b98981e5d347c2ef8da0d1e53100d28eed2503790ca05b2cb6414ea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-07T05:55:04Z",
    "title_canon_sha256": "5ba8b08f7b8eef6f18219ae00ad107165f2c0da8462f99ac9fa660ed6f5d2896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01996",
    "kind": "arxiv",
    "version": 2
  }
}