Pith Number

pith:5XK6IFV5

pith:2011:5XK6IFV5CDOJSHCS5DRYA4U566

not attested not anchored not stored refs pending

On completeness of integral manifolds of nullity distributions

Carlos Olmos, Francisco Vittone

arxiv:1104.1412 v1 · 2011-04-07 · 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{5XK6IFV5CDOJSHCS5DRYA4U566}

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	2026-05-18T04:24:52.302452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edd5e416bd10dc991c52e8e380729df7aaf7fbddbe7972ea785668f9811aca86

Aliases

arxiv: 1104.1412 · arxiv_version: 1104.1412v1 · doi: 10.48550/arxiv.1104.1412 · pith_short_12: 5XK6IFV5CDOJ · pith_short_16: 5XK6IFV5CDOJSHCS · pith_short_8: 5XK6IFV5

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/5XK6IFV5CDOJSHCS5DRYA4U566 \
  | 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: edd5e416bd10dc991c52e8e380729df7aaf7fbddbe7972ea785668f9811aca86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aff7a249f045717246e478c914ed4295a3bd9f2ba18399dd30904191c27c077",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-07T19:34:24Z",
    "title_canon_sha256": "1700dcb3a95d80a6474f9856e4f5ecfc43a7a37589142fba13e35439d53e0b3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1412",
    "kind": "arxiv",
    "version": 1
  }
}