Pith Number

pith:WVRRD3U5

pith:2012:WVRRD3U5BKXDVDYQPDV7JXTYEL

not attested not anchored not stored refs pending

Proper holomorphic immersions in homotopy classes of maps from finitely connected planar domains into CxC*

Finnur Larusson, Tyson Ritter

arxiv:1209.4430 v2 · 2012-09-20 · 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{WVRRD3U5BKXDVDYQPDV7JXTYEL}

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	2026-05-18T03:42:23.576051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b56311ee9d0aae3a8f1078ebf4de7822c3a46327fcba31cfbf2cd70a78ffe215

Aliases

arxiv: 1209.4430 · arxiv_version: 1209.4430v2 · doi: 10.48550/arxiv.1209.4430 · pith_short_12: WVRRD3U5BKXD · pith_short_16: WVRRD3U5BKXDVDYQ · pith_short_8: WVRRD3U5

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/WVRRD3U5BKXDVDYQPDV7JXTYEL \
  | 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: b56311ee9d0aae3a8f1078ebf4de7822c3a46327fcba31cfbf2cd70a78ffe215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686d39b3e7dc5abecc50c3c34082c469334482e3e69e65f61d6f7fb8e4e71163",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-09-20T05:31:08Z",
    "title_canon_sha256": "f32fb37de297e853630ef0c6382930fdeb1b6a11c7687485afd890b1a7a61f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4430",
    "kind": "arxiv",
    "version": 2
  }
}