Pith Number

pith:CRTGLXWY

pith:2019:CRTGLXWYFCTNZQCUXFEEQXFGXP

not attested not anchored not stored refs pending

Computing cohomology spaces of left-invariant involutive structures on $\mathrm{SU}(2)$: examples

Gabriel Ara\'ujo

arxiv:1908.10207 v1 · 2019-08-25 · 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{CRTGLXWYFCTNZQCUXFEEQXFGXP}

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	2026-07-04T23:59:54.863416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

146665ded828a6dcc054b948485ca6bbc8de9b431757c12fb0c10b4678f9089b

Aliases

arxiv: 1908.10207 · arxiv_version: 1908.10207v1 · doi: 10.48550/arxiv.1908.10207 · pith_short_12: CRTGLXWYFCTN · pith_short_16: CRTGLXWYFCTNZQCU · pith_short_8: CRTGLXWY

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/CRTGLXWYFCTNZQCUXFEEQXFGXP \
  | 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: 146665ded828a6dcc054b948485ca6bbc8de9b431757c12fb0c10b4678f9089b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1abcc0bd8567e6828c504e7f00cec30ceb73552aa4bbd043fb7599c4fd891983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-25T19:55:37Z",
    "title_canon_sha256": "77782239da19f9c4309ffedd3d996913b1c2fc62fe63382bbec1015104a2649e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10207",
    "kind": "arxiv",
    "version": 1
  }
}