Pith Number

pith:3VT3XRUB

pith:2014:3VT3XRUB6EG44EJ2HMRA6FPUN2

not attested not anchored not stored refs pending

The Tangent Functor Monad and Foliations

Beno\^it Jubin

arxiv:1401.0940 v1 · 2014-01-05 · math.DG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VT3XRUB6EG44EJ2HMRA6FPUN2}

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.

Cited by

1 paper in Pith

Representable tangent structures for affine schemes

Receipt and verification

First computed	2026-05-18T03:03:11.472486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd67bbc681f10dce113a3b220f15f46eb797eddc79e94d040aff23927f4ada6e

Aliases

arxiv: 1401.0940 · arxiv_version: 1401.0940v1 · doi: 10.48550/arxiv.1401.0940 · pith_short_12: 3VT3XRUB6EG4 · pith_short_16: 3VT3XRUB6EG44EJ2 · pith_short_8: 3VT3XRUB

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/3VT3XRUB6EG44EJ2HMRA6FPUN2 \
  | 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: dd67bbc681f10dce113a3b220f15f46eb797eddc79e94d040aff23927f4ada6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af320551bd30d805756a33015ff56d1cc7362be2415e71dd3e1e1a6495d2c269",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-05T21:05:08Z",
    "title_canon_sha256": "d61b506c9fa1deb8afca73ecd5739fbab4ad9c0bbf9a6f8631221e5e1d52bbfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0940",
    "kind": "arxiv",
    "version": 1
  }
}