Pith Number

pith:ZSBHKLSJ

pith:2011:ZSBHKLSJJS3GWOEWO3KFQGH3VA

not attested not anchored not stored refs pending

A note on stochastic calculus in vector bundles

Diego S. Ledesma, Paulo R. Ruffino, Pedro J. Catuogno

arxiv:1112.4996 v1 · 2011-12-21 · 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{ZSBHKLSJJS3GWOEWO3KFQGH3VA}

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	2026-05-18T04:05:56.535620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc82752e494cb66b389676d45818fba814cd8fa8ec020b42d2a74378f06f9d43

Aliases

arxiv: 1112.4996 · arxiv_version: 1112.4996v1 · doi: 10.48550/arxiv.1112.4996 · pith_short_12: ZSBHKLSJJS3G · pith_short_16: ZSBHKLSJJS3GWOEW · pith_short_8: ZSBHKLSJ

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/ZSBHKLSJJS3GWOEWO3KFQGH3VA \
  | 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: cc82752e494cb66b389676d45818fba814cd8fa8ec020b42d2a74378f06f9d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d73bb61ed89db7c3c16ecd2a1fad6f5862c935762efd75ce9c96d491a5cd82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-21T11:48:13Z",
    "title_canon_sha256": "77915b15e5e52de616c0be6ed5d1e0dc1925f1379c0fa768831a26a1f8cf762b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4996",
    "kind": "arxiv",
    "version": 1
  }
}