Pith Number

pith:PMNWNIMT

pith:2011:PMNWNIMTCT2UZU6EPM7VABAKLW

not attested not anchored not stored refs pending

Proper holomorphic embeddings of Riemann surfaces with arbitrary topology into $\mathbb{C}^2$

Antonio Alarcon, Francisco J. Lopez

arxiv:1104.1893 v1 · 2011-04-11 · math.CV · 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{PMNWNIMTCT2UZU6EPM7VABAKLW}

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	2026-05-18T02:22:10.073486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1b66a19314f54cd3c47b3f50040a5d8ce371a65d1513b2c7c0f8ada8e41a32

Aliases

arxiv: 1104.1893 · arxiv_version: 1104.1893v1 · doi: 10.48550/arxiv.1104.1893 · pith_short_12: PMNWNIMTCT2U · pith_short_16: PMNWNIMTCT2UZU6E · pith_short_8: PMNWNIMT

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/PMNWNIMTCT2UZU6EPM7VABAKLW \
  | 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: 7b1b66a19314f54cd3c47b3f50040a5d8ce371a65d1513b2c7c0f8ada8e41a32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f3c2607d4c3a72dd6b14c9c54441574debb6bc88e72ee0535041b6331b4340",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-11T09:52:17Z",
    "title_canon_sha256": "32f2404764b04c4c14bb2cfb8d3ec38670822cd8094b805482ae04527ccd9abe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1893",
    "kind": "arxiv",
    "version": 1
  }
}