Pith Number

pith:4G2ZMUOZ

pith:2015:4G2ZMUOZ6CUT76FKZK2UOJSRXD

not attested not anchored not stored refs pending

An elementary approach to tangent space variation on Riemannian submanifolds

Arijit Ghosh, Jean-Daniel Boissonnat, Ramsay Dyer

arxiv:1506.06346 v2 · 2015-06-21 · cs.CG · 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{4G2ZMUOZ6CUT76FKZK2UOJSRXD}

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	2026-05-18T01:31:10.800898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b59651d9f0a93ff8aacab5472651b8fa67d12ecf235410090bbe120a5383dd

Aliases

arxiv: 1506.06346 · arxiv_version: 1506.06346v2 · doi: 10.48550/arxiv.1506.06346 · pith_short_12: 4G2ZMUOZ6CUT · pith_short_16: 4G2ZMUOZ6CUT76FK · pith_short_8: 4G2ZMUOZ

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/4G2ZMUOZ6CUT76FKZK2UOJSRXD \
  | 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: e1b59651d9f0a93ff8aacab5472651b8fa67d12ecf235410090bbe120a5383dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1866899e0216a0a537c2ac3064701419d4695b9132302d1b132cc0f657b35f88",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-06-21T10:56:50Z",
    "title_canon_sha256": "02f75a42357b9c868a3cef0663a6d5676f44b77cf8e64b1df6226388c1056a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06346",
    "kind": "arxiv",
    "version": 2
  }
}