Pith Number

pith:QT6OCCHR

pith:2017:QT6OCCHR6CWDSP3HAR2EK2SJK4

not attested not anchored not stored refs pending

Privileged Coordinates and Nilpotent Approximation of Carnot Manifolds, I. General Results

Raphael Ponge, Woocheol Choi

arxiv:1709.09045 v2 · 2017-09-25 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QT6OCCHR6CWDSP3HAR2EK2SJK4}

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.

Cited by

1 paper in Pith

Lie groupoids, pseudodifferential calculus and index theory

Receipt and verification

First computed	2026-05-17T23:54:16.885249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84fce108f1f0ac393f670474456a495720bd4a22451ceebd0edb53a7c02f695f

Aliases

arxiv: 1709.09045 · arxiv_version: 1709.09045v2 · doi: 10.48550/arxiv.1709.09045 · pith_short_12: QT6OCCHR6CWD · pith_short_16: QT6OCCHR6CWDSP3H · pith_short_8: QT6OCCHR

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/QT6OCCHR6CWDSP3HAR2EK2SJK4 \
  | 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: 84fce108f1f0ac393f670474456a495720bd4a22451ceebd0edb53a7c02f695f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28009a6e1f7f4c4113c8d6ecbda2ab0539ffab3aede139a4dc398d3e0517fe57",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-25T04:29:20Z",
    "title_canon_sha256": "6fc16a4d8bdfebcf969db9ffd83d284a0f944306069f2c4054a855758e1ec935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09045",
    "kind": "arxiv",
    "version": 2
  }
}