Pith Number

pith:V4GDQU55

pith:1995:V4GDQU55Q66KHV2ZVTIR4UKYFI

not attested not anchored not stored refs pending

A note on Carnot geodesics in nilpotent Lie groups

Christopher Gol\'e, Ron Karidi

arxiv:math/9505217 v1 · 1995-05-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4GDQU55Q66KHV2ZVTIR4UKYFI}

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	2026-05-18T01:05:48.620565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0c3853bd87bca3d759acd11e51582a350c65196110d7d0ed880a5585fbe1c1

Aliases

arxiv: math/9505217 · arxiv_version: math/9505217v1 · doi: 10.48550/arxiv.math/9505217 · pith_short_12: V4GDQU55Q66K · pith_short_16: V4GDQU55Q66KHV2Z · pith_short_8: V4GDQU55

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/V4GDQU55Q66KHV2ZVTIR4UKYFI \
  | 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: af0c3853bd87bca3d759acd11e51582a350c65196110d7d0ed880a5585fbe1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6690d33a792b73f24e3fcd4f6f7170305844ddce4318bb4a47a0003d06443db",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1995-05-21T00:00:00Z",
    "title_canon_sha256": "c0ad528ace7d73c3751ee63f610ab72015c89db3691651481ee0244cae475ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9505217",
    "kind": "arxiv",
    "version": 1
  }
}