Pith Number

pith:NK6QQ5E4

pith:2015:NK6QQ5E4XY2MSYNQYVYMZ7ZCTS

not attested not anchored not stored refs pending

Cylindricity of complete Euclidean submanifolds with relative nullity

Felippe Soares Guimar\~Aes, Guilherme Machado de Freitas

arxiv:1508.06765 v1 · 2015-08-27 · 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{NK6QQ5E4XY2MSYNQYVYMZ7ZCTS}

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	2026-05-18T01:34:41.113338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6abd08749cbe34c961b0c570ccff229cade85a7525a6857a383709e6d98da36e

Aliases

arxiv: 1508.06765 · arxiv_version: 1508.06765v1 · doi: 10.48550/arxiv.1508.06765 · pith_short_12: NK6QQ5E4XY2M · pith_short_16: NK6QQ5E4XY2MSYNQ · pith_short_8: NK6QQ5E4

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/NK6QQ5E4XY2MSYNQYVYMZ7ZCTS \
  | 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: 6abd08749cbe34c961b0c570ccff229cade85a7525a6857a383709e6d98da36e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "484a614e72b07dc8fdb71e6423ca8e1863ff33af14ad79aa271fa1d3c7d80b00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-27T09:20:04Z",
    "title_canon_sha256": "e87c1bd84c3ff8ddd702a6e523febef94f0bbb7144b2ab8fe86e5173036af4b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06765",
    "kind": "arxiv",
    "version": 1
  }
}