Pith Number

pith:MNVQYXJ5

pith:2026:MNVQYXJ5IGJYGK3ILHBLLQMLHZ

not attested not anchored not stored refs pending

Lie subalgebras of vector fields on curves

Colin Ingalls, Lucas Buzaglo

arxiv:2606.21748 v1 · 2026-06-19 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNVQYXJ5IGJYGK3ILHBLLQMLHZ}

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	2026-06-23T01:13:21.409924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636b0c5d3d4193832b6859c2b5c18b3e6eee20cea72ffac87ecb58e47ac322e8

Aliases

arxiv: 2606.21748 · arxiv_version: 2606.21748v1 · doi: 10.48550/arxiv.2606.21748 · pith_short_12: MNVQYXJ5IGJY · pith_short_16: MNVQYXJ5IGJYGK3I · pith_short_8: MNVQYXJ5

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/MNVQYXJ5IGJYGK3ILHBLLQMLHZ \
  | 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: 636b0c5d3d4193832b6859c2b5c18b3e6eee20cea72ffac87ecb58e47ac322e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21632ea30c17be84efd2017a62f01487e317c522b1cdccb227b6ce7a604811f4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-19T21:04:47Z",
    "title_canon_sha256": "3484a267882c00245b3880fc48fda7583b56598186f4ed90a1b7f1771311ff34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21748",
    "kind": "arxiv",
    "version": 1
  }
}