Pith Number

pith:U4DFTOTV

pith:2017:U4DFTOTVLAWCWL2QOQHFKQ2CST

not attested not anchored not stored refs pending

Value distribution for the Gauss maps of various classes of surfaces

Yu Kawakami

arxiv:1707.04118 v1 · 2017-07-12 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4DFTOTVLAWCWL2QOQHFKQ2CST}

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	2026-05-18T00:40:22.608848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70659ba75582c2b2f50740e55434294c5445ec4070f8e1145f1f36327f49d43

Aliases

arxiv: 1707.04118 · arxiv_version: 1707.04118v1 · doi: 10.48550/arxiv.1707.04118 · pith_short_12: U4DFTOTVLAWC · pith_short_16: U4DFTOTVLAWCWL2Q · pith_short_8: U4DFTOTV

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/U4DFTOTVLAWCWL2QOQHFKQ2CST \
  | 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: a70659ba75582c2b2f50740e55434294c5445ec4070f8e1145f1f36327f49d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fed0c7dbc7ac4b756f68e9ac27b61f99e0548ffb1b1a2e77d472b7d27d9a8c5",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-12T10:21:29Z",
    "title_canon_sha256": "6a7c525bb480b19eb2bbeb2c280ee8e84d119f17a7fa8acde2da663778fb773b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04118",
    "kind": "arxiv",
    "version": 1
  }
}