Pith Number

pith:HNTCLMDR

pith:2013:HNTCLMDRK6MSTRPGGQ527Z4CQI

not attested not anchored not stored refs pending

Function-theoretic properties for the Gauss maps of various classes of surfaces

Yu Kawakami

arxiv:1311.1931 v2 · 2013-11-08 · 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{HNTCLMDRK6MSTRPGGQ527Z4CQI}

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	2026-05-18T02:50:59.578193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6625b071579929c5e6343bafe782822769a4fd50c72fc903937fe31d189925

Aliases

arxiv: 1311.1931 · arxiv_version: 1311.1931v2 · doi: 10.48550/arxiv.1311.1931 · pith_short_12: HNTCLMDRK6MS · pith_short_16: HNTCLMDRK6MSTRPG · pith_short_8: HNTCLMDR

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/HNTCLMDRK6MSTRPGGQ527Z4CQI \
  | 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: 3b6625b071579929c5e6343bafe782822769a4fd50c72fc903937fe31d189925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb905d4bc3773680b40aa3b166413ba2b0bc90b7f1ea869459f49e9b6add0e56",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-08T10:58:54Z",
    "title_canon_sha256": "12c7017779105e895084b2049e91d1a5ca69fab7a935810a7541782c03f89774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1931",
    "kind": "arxiv",
    "version": 2
  }
}