Pith Number

pith:PB4T4RY2

pith:2019:PB4T4RY2YVYK5LBQSOLW63PQIM

not attested not anchored not stored refs pending

New Examples on Lavrentiev Gap Using Fractals

Anna Kh. Balci, Lars Diening, Mikhail Surnachev

arxiv:1906.04639 v2 · 2019-06-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PB4T4RY2YVYK5LBQSOLW63PQIM}

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	2026-05-17T23:43:25.695723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78793e471ac570aeac3093976f6df04322196ba5dd1206f34f1431afa648a8d9

Aliases

arxiv: 1906.04639 · arxiv_version: 1906.04639v2 · doi: 10.48550/arxiv.1906.04639 · pith_short_12: PB4T4RY2YVYK · pith_short_16: PB4T4RY2YVYK5LBQ · pith_short_8: PB4T4RY2

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/PB4T4RY2YVYK5LBQSOLW63PQIM \
  | 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: 78793e471ac570aeac3093976f6df04322196ba5dd1206f34f1431afa648a8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20788e43fd61d5e974ff035b1bf8e959eaab9983fb29e8daf994972e46747cc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-11T15:04:44Z",
    "title_canon_sha256": "c0e802e436bb2ecf68d344e8e70ea3dfe22c11387bb77c6142cbc7b38137de75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04639",
    "kind": "arxiv",
    "version": 2
  }
}