Pith Number

pith:V4QVZSCY

pith:2009:V4QVZSCYIYUWIHYWR3ZKSX4BIN

not attested not anchored not stored refs pending

Moduli of Coassociative Submanifolds and Semi-Flat Coassociative Fibrations

David Baraglia

arxiv:0902.2135 v2 · 2009-02-12 · 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{V4QVZSCYIYUWIHYWR3ZKSX4BIN}

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	2026-05-18T04:41:44.953500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af215cc8584629641f168ef2a95f8143577c5841f776c33b566313ac92376134

Aliases

arxiv: 0902.2135 · arxiv_version: 0902.2135v2 · doi: 10.48550/arxiv.0902.2135 · pith_short_12: V4QVZSCYIYUW · pith_short_16: V4QVZSCYIYUWIHYW · pith_short_8: V4QVZSCY

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/V4QVZSCYIYUWIHYWR3ZKSX4BIN \
  | 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: af215cc8584629641f168ef2a95f8143577c5841f776c33b566313ac92376134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac08187d0ebd754645b88cd1808f68bb8df066ab51d99e38817503df973a0b8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-02-12T15:42:02Z",
    "title_canon_sha256": "20e1890701afec44aaa8e804c83f3d0c6a9cd2fb8ec209fa66a5087eb78edb5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2135",
    "kind": "arxiv",
    "version": 2
  }
}