Pith Number

pith:RH63DJHB

pith:2015:RH63DJHBMAY3JYURPSYSBQ7BVN

not attested not anchored not stored refs pending

Tangent Maps and Tangent Groupoid for Carnot Manifolds

Raphael Ponge, Woocheol Choi

arxiv:1510.05851 v4 · 2015-10-20 · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RH63DJHBMAY3JYURPSYSBQ7BVN}

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	2026-05-17T23:54:27.199240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89fdb1a4e16031b4e2917cb120c3e1ab4635ab09572fd712f31b75d504e59c69

Aliases

arxiv: 1510.05851 · arxiv_version: 1510.05851v4 · doi: 10.48550/arxiv.1510.05851 · pith_short_12: RH63DJHBMAY3 · pith_short_16: RH63DJHBMAY3JYUR · pith_short_8: RH63DJHB

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/RH63DJHBMAY3JYURPSYSBQ7BVN \
  | 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: 89fdb1a4e16031b4e2917cb120c3e1ab4635ab09572fd712f31b75d504e59c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0f0cd26d06c4250ff0ee7c4ae4071569912a7a6bd9d49388a577f7886f2b57",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-20T12:12:41Z",
    "title_canon_sha256": "a39ccdcaefde70cc3d4775aaf209d135eab09ea96d3bdd0c4254df12c358d153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05851",
    "kind": "arxiv",
    "version": 4
  }
}