Pith Number

pith:PMCXNSAA

pith:2016:PMCXNSAAG3B2B5ESLQ4RXUR4P7

not attested not anchored not stored refs pending

Closed Cycloids in a Normed Plane

Marcos Craizer, Ralph Teixeira, Vitor Balestro

arxiv:1608.01651 v2 · 2016-08-04 · 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{PMCXNSAAG3B2B5ESLQ4RXUR4P7}

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	2026-05-18T00:51:34.000742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b0576c80036c3a0f4925c391bd23c7ffad28b19402d69d34b46185c0b929725

Aliases

arxiv: 1608.01651 · arxiv_version: 1608.01651v2 · doi: 10.48550/arxiv.1608.01651 · pith_short_12: PMCXNSAAG3B2 · pith_short_16: PMCXNSAAG3B2B5ES · pith_short_8: PMCXNSAA

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/PMCXNSAAG3B2B5ESLQ4RXUR4P7 \
  | 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: 7b0576c80036c3a0f4925c391bd23c7ffad28b19402d69d34b46185c0b929725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9feefbc0abecc8dc8874fc404758c06150cec51ddc847de5b93ac6a85ee28c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-04T19:35:50Z",
    "title_canon_sha256": "077f823b52cb4e79b8f9ff8d5e077b423e731b6b0f91fec2a4d51c7c6812cb52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01651",
    "kind": "arxiv",
    "version": 2
  }
}