Pith Number

pith:HO6QGLV7

pith:2009:HO6QGLV7LVLEOEPSAOF4MDB5RJ

not attested not anchored not stored refs pending

The extrinsic holonomy Lie algebra of a parallel submanifold

Tillmann Jentsch

arxiv:0904.2611 v4 · 2009-04-17 · 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{HO6QGLV7LVLEOEPSAOF4MDB5RJ}

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	2026-05-18T03:54:06.383395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bbd032ebf5d564711f2038bc60c3d8a655e1f8ed704f296fca24b98ddab7854

Aliases

arxiv: 0904.2611 · arxiv_version: 0904.2611v4 · doi: 10.48550/arxiv.0904.2611 · pith_short_12: HO6QGLV7LVLE · pith_short_16: HO6QGLV7LVLEOEPS · pith_short_8: HO6QGLV7

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/HO6QGLV7LVLEOEPSAOF4MDB5RJ \
  | 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: 3bbd032ebf5d564711f2038bc60c3d8a655e1f8ed704f296fca24b98ddab7854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14a22c807d59413489bb176e77142b9a4f39b7b22c285b22b665ebfb2622feba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-04-17T19:47:35Z",
    "title_canon_sha256": "2ef3fc8fae97221ef82c8cf68cfffd3cb8631988eb7f466df8d5570711547730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2611",
    "kind": "arxiv",
    "version": 4
  }
}