Pith Number

pith:Q6K2JDRW

pith:2025:Q6K2JDRWB2W4XUGMRDPKU3THEB

not attested not anchored not stored refs pending

On Multiplicative Weightings for Lie Groupoids and Lie Algebroids

Daniel Hudson

arxiv:2508.10276 v1 · 2025-08-14 · 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{Q6K2JDRWB2W4XUGMRDPKU3THEB}

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	2026-07-05T11:53:52.613891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8795a48e360eadcbd0cc88deaa6e672055eb3ebe05335e1b3f53ba06ad8dbcb7

Aliases

arxiv: 2508.10276 · arxiv_version: 2508.10276v1 · doi: 10.48550/arxiv.2508.10276 · pith_short_12: Q6K2JDRWB2W4 · pith_short_16: Q6K2JDRWB2W4XUGM · pith_short_8: Q6K2JDRW

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/Q6K2JDRWB2W4XUGMRDPKU3THEB \
  | 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: 8795a48e360eadcbd0cc88deaa6e672055eb3ebe05335e1b3f53ba06ad8dbcb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbf826ec1dae473dc3292a14ba9a7d7ca887fee8c66f793c6b63206741406fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-14T01:57:31Z",
    "title_canon_sha256": "487ef3a5723f86bc294c7aac8402215cbc91088b951fffee958a5e7bf221dd9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10276",
    "kind": "arxiv",
    "version": 1
  }
}