Pith Number

pith:5MPRT4CZ

pith:2017:5MPRT4CZ7PKXHTYOMWHSCCXBCO

not attested not anchored not stored refs pending

Normal holonomy and rational properties of the shape operator

Carlos Olmos, Richar Ria\~no-Ria\~no

arxiv:1702.01328 v2 · 2017-02-04 · 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{5MPRT4CZ7PKXHTYOMWHSCCXBCO}

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	2026-05-18T00:43:54.879971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb1f19f059fbd573cf0e658f210ae113b5120d82f60d543c8baa5f41af26c639

Aliases

arxiv: 1702.01328 · arxiv_version: 1702.01328v2 · doi: 10.48550/arxiv.1702.01328 · pith_short_12: 5MPRT4CZ7PKX · pith_short_16: 5MPRT4CZ7PKXHTYO · pith_short_8: 5MPRT4CZ

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/5MPRT4CZ7PKXHTYOMWHSCCXBCO \
  | 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: eb1f19f059fbd573cf0e658f210ae113b5120d82f60d543c8baa5f41af26c639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e897353283144264994a04e7723eb94f769d86700c31fbbe6bc19dd28d93d94a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-02-04T19:25:19Z",
    "title_canon_sha256": "65c181b2fa472ee8d7f660c75b7f893b7bf82c87c46fdf1bbab646ba5a5d64aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01328",
    "kind": "arxiv",
    "version": 2
  }
}