Pith Number

pith:ZECSBARL

pith:2011:ZECSBARLPHSV2CTPGZOQYXXHA4

not attested not anchored not stored refs pending

Local polynomial convexity of the unfolded Whitney umbrella in $\mathbb C^2$

Alexandre Sukhov, Rasul Shafikov

arxiv:1106.4272 v2 · 2011-06-21 · math.CV · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZECSBARLPHSV2CTPGZOQYXXHA4}

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	2026-05-18T03:48:13.765560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c90520822b79e55d0a6f365d0c5ee70723114699834f924d78b4d1cc0786a311

Aliases

arxiv: 1106.4272 · arxiv_version: 1106.4272v2 · doi: 10.48550/arxiv.1106.4272 · pith_short_12: ZECSBARLPHSV · pith_short_16: ZECSBARLPHSV2CTP · pith_short_8: ZECSBARL

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/ZECSBARLPHSV2CTPGZOQYXXHA4 \
  | 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: c90520822b79e55d0a6f365d0c5ee70723114699834f924d78b4d1cc0786a311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e17ea5f8b61b14f59cb7933d3809e2a46e97e7240aa7b8a5516726de3169d9a3",
    "cross_cats_sorted": [
      "math.DS",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-06-21T17:22:48Z",
    "title_canon_sha256": "b909412d6807269d3bb346366a04b1f43541e1aad3ef4bfa89d3796de6585bba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4272",
    "kind": "arxiv",
    "version": 2
  }
}