Pith Number

pith:UGK3DNXF

pith:2019:UGK3DNXFTVPSTALS6Y7W4Z5HDO

not attested not anchored not stored refs pending

A step to Gronwall's conjecture

Jean Paul Dufour

arxiv:1906.11545 v1 · 2019-06-27 · 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{UGK3DNXFTVPSTALS6Y7W4Z5HDO}

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	2026-05-17T23:42:04.502805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a195b1b6e59d5f298172f63f6e67a71b8df2a0396416e3a45f5c961fc48e84ba

Aliases

arxiv: 1906.11545 · arxiv_version: 1906.11545v1 · doi: 10.48550/arxiv.1906.11545 · pith_short_12: UGK3DNXFTVPS · pith_short_16: UGK3DNXFTVPSTALS · pith_short_8: UGK3DNXF

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/UGK3DNXFTVPSTALS6Y7W4Z5HDO \
  | 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: a195b1b6e59d5f298172f63f6e67a71b8df2a0396416e3a45f5c961fc48e84ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ea578064ec0950c50181830a8b0b1538d9c195d66605e9e846994d8fb132d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-27T10:53:22Z",
    "title_canon_sha256": "be4d6a221700c6418e7133473433321b6e2d7a889a740a0748bacbb715933835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11545",
    "kind": "arxiv",
    "version": 1
  }
}