Pith Number

pith:AF2JKUFA

pith:2017:AF2JKUFAL7Y3RHBCLLEPA2Z3JD

not attested not anchored not stored refs pending

Projective transformations of rotation sets

Fran\c{c}ois B\'eguin, Fr\'ed\'eric Le Roux, Sylvain Crovisier

arxiv:1711.04020 v1 · 2017-11-10 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AF2JKUFAL7Y3RHBCLLEPA2Z3JD}

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	2026-05-18T00:30:50.311119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01749550a05ff1b89c225ac8f06b3b48e090cd00358314abff8babb21f870296

Aliases

arxiv: 1711.04020 · arxiv_version: 1711.04020v1 · doi: 10.48550/arxiv.1711.04020 · pith_short_12: AF2JKUFAL7Y3 · pith_short_16: AF2JKUFAL7Y3RHBC · pith_short_8: AF2JKUFA

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/AF2JKUFAL7Y3RHBCLLEPA2Z3JD \
  | 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: 01749550a05ff1b89c225ac8f06b3b48e090cd00358314abff8babb21f870296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f3e03267e4be475bbe9dccd02c2b08c0bd68eb5939d24cef70bded91748a36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-10T21:31:57Z",
    "title_canon_sha256": "67a3d1014490c747a79a57d35ad74b61016a12801b8b3f7802109cd65c331398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04020",
    "kind": "arxiv",
    "version": 1
  }
}