Pith Number

pith:7JWBKNSV

pith:2013:7JWBKNSV2MDDKMUCFBPCNVLCKU

not attested not anchored not stored refs pending

The topology of Stein fillable manifolds in high dimensions I

Andr\'as I. Stipsicz, Diarmuid Crowley, Jonathan Bowden

arxiv:1306.2746 v2 · 2013-06-12 · math.GT · math.AT · 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{7JWBKNSV2MDDKMUCFBPCNVLCKU}

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	2026-05-18T00:44:29.731500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa6c153655d306353282285e26d56255071c6bfb0f33497e61e1b7c868e52ef8

Aliases

arxiv: 1306.2746 · arxiv_version: 1306.2746v2 · doi: 10.48550/arxiv.1306.2746 · pith_short_12: 7JWBKNSV2MDD · pith_short_16: 7JWBKNSV2MDDKMUC · pith_short_8: 7JWBKNSV

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/7JWBKNSV2MDDKMUCFBPCNVLCKU \
  | 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: fa6c153655d306353282285e26d56255071c6bfb0f33497e61e1b7c868e52ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d3527da2fa02130a6f5160f1aebadc5e45d0c7a0466ccd310108427d58083b9",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-06-12T08:26:18Z",
    "title_canon_sha256": "c0889027118878f37f7ce9db24e50df41ed6b1a99f944499cfd5e2bd81cf1867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2746",
    "kind": "arxiv",
    "version": 2
  }
}