Pith Number

pith:HPHE43AH

pith:2017:HPHE43AH7HQDCYSWZHUVL73VVX

not attested not anchored not stored refs pending

Privileged Coordinates and Nilpotent Approximation for Carnot Manifolds, II. Carnot Coordinates

Raphael Ponge, Woocheol Choi

arxiv:1703.05494 v3 · 2017-03-16 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPHE43AH7HQDCYSWZHUVL73VVX}

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	2026-05-17T23:54:26.870675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bce4e6c07f9e0316256c9e955ff75ade6ea9e44aded150d35e2125dbc4837d1

Aliases

arxiv: 1703.05494 · arxiv_version: 1703.05494v3 · doi: 10.48550/arxiv.1703.05494 · pith_short_12: HPHE43AH7HQD · pith_short_16: HPHE43AH7HQDCYSW · pith_short_8: HPHE43AH

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/HPHE43AH7HQDCYSWZHUVL73VVX \
  | 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: 3bce4e6c07f9e0316256c9e955ff75ade6ea9e44aded150d35e2125dbc4837d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc9f015c6490a6cdcde844c1d8a86b30cc10987599d7d33afd9e11378b824980",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-16T07:51:53Z",
    "title_canon_sha256": "87b5684f6571b210b3f9a58f46a80265892d13e1f55268ba1d49b5305da78d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05494",
    "kind": "arxiv",
    "version": 3
  }
}