Pith Number

pith:FWZXU3J6

pith:2010:FWZXU3J6FMEYH2O44UNOKQUENY

not attested not anchored not stored refs pending

The annulus property of simple holomorphic discs

Kai Zehmisch

arxiv:1003.1842 v3 · 2010-03-09 · math.SG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWZXU3J6FMEYH2O44UNOKQUENY}

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	2026-05-17T23:51:44.910932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db37a6d3e2b0983e9dce51ae542846e15a31be16118a64bb553e7fdc5dd4f5e

Aliases

arxiv: 1003.1842 · arxiv_version: 1003.1842v3 · doi: 10.48550/arxiv.1003.1842 · pith_short_12: FWZXU3J6FMEY · pith_short_16: FWZXU3J6FMEYH2O4 · pith_short_8: FWZXU3J6

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/FWZXU3J6FMEYH2O44UNOKQUENY \
  | 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: 2db37a6d3e2b0983e9dce51ae542846e15a31be16118a64bb553e7fdc5dd4f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c69d681af7d3b67ea7ff178e16d50fdbe06a116d3e991891068ce0f02fd9f080",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-03-09T11:04:05Z",
    "title_canon_sha256": "0a29683ae0bd6ba3ed95538d23b98ad56765b35398ce5128de809c6f037c96a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1842",
    "kind": "arxiv",
    "version": 3
  }
}