Pith Number

pith:WS2DDQLI

pith:2017:WS2DDQLIAO7VU6IMN4U7SI72FA

not attested not anchored not stored refs pending

Topologically singular points in the moduli space of Riemann surfaces

Ana M. Porto, Antonio F. Costa

arxiv:1706.09862 v4 · 2017-06-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WS2DDQLIAO7VU6IMN4U7SI72FA}

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	2026-05-17T23:59:53.771126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4b431c16803bf5a790c6f29f923fa2809cbc7f5f2b7bc19f1aa9b4dee18c83f

Aliases

arxiv: 1706.09862 · arxiv_version: 1706.09862v4 · doi: 10.48550/arxiv.1706.09862 · pith_short_12: WS2DDQLIAO7V · pith_short_16: WS2DDQLIAO7VU6IM · pith_short_8: WS2DDQLI

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/WS2DDQLIAO7VU6IMN4U7SI72FA \
  | 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: b4b431c16803bf5a790c6f29f923fa2809cbc7f5f2b7bc19f1aa9b4dee18c83f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17abc31cff8132a4367183e32dd9652ed67360a82ae27caf845a82cdb848e5f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-29T17:20:22Z",
    "title_canon_sha256": "62cfa31c794447c6283f8e82b89dc16664d80e47bc83fc1da1411fdc2d802a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09862",
    "kind": "arxiv",
    "version": 4
  }
}