Pith Number

pith:MRPLRYLH

pith:2021:MRPLRYLHSOHFSVQC4U4QLJPLZO

not attested not anchored not stored refs pending

Spiraling of sub-Riemannian geodesics around the Reeb flow in the 3D contact case

CaGE), Emmanuel Tr\'elat (LJLL (UMR\_7598), Luc Hillairet (IDP), Yves Colin De Verdi\`ere (IF)

arxiv:2102.12741 v1 · 2021-02-25 · math.DG · math.MG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRPLRYLHSOHFSVQC4U4QLJPLZO}

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	2026-07-05T02:18:23.378010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645eb8e167938e595602e53905a5ebcbaef3d220ef8b7806fdb80f5e5181b38a

Aliases

arxiv: 2102.12741 · arxiv_version: 2102.12741v1 · doi: 10.48550/arxiv.2102.12741 · pith_short_12: MRPLRYLHSOHF · pith_short_16: MRPLRYLHSOHFSVQC · pith_short_8: MRPLRYLH

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/MRPLRYLHSOHFSVQC4U4QLJPLZO \
  | 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: 645eb8e167938e595602e53905a5ebcbaef3d220ef8b7806fdb80f5e5181b38a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d3b7df6aaf0cafbf601de179aef9ddfe7d6a838ba7170e5f4225359316f09f",
    "cross_cats_sorted": [
      "math.MG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-02-25T09:10:51Z",
    "title_canon_sha256": "e6f1a330cb8e61d51ad9f125483ca66b9b809eaefe986e04132919f676aead8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.12741",
    "kind": "arxiv",
    "version": 1
  }
}