Pith Number

pith:43ESF3XI

pith:1997:43ESF3XILIBXLN3OSENR4H4SPK

not attested not anchored not stored refs pending

Classical lifting processes and multiplicative vector fields

Kirill Mackenzie, Ping Xu

arxiv:dg-ga/9710030 v1 · 1997-10-28 · dg-ga · 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{43ESF3XILIBXLN3OSENR4H4SPK}

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

On Multiplicative Weightings for Lie Groupoids and Lie Algebroids

Receipt and verification

First computed	2026-07-04T14:25:14.472416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c922eee85a0375b76e911b1e1f927a841e75db1adb329cf8fb41d66ee952ad

Aliases

arxiv: dg-ga/9710030 · arxiv_version: dg-ga/9710030v1 · doi: 10.48550/arxiv.dg-ga/9710030 · pith_short_12: 43ESF3XILIBX · pith_short_16: 43ESF3XILIBXLN3O · pith_short_8: 43ESF3XI

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/43ESF3XILIBXLN3OSENR4H4SPK \
  | 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: e6c922eee85a0375b76e911b1e1f927a841e75db1adb329cf8fb41d66ee952ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c768e95b3f8432f78e552204be697b2371aca798d996b06af205bc799a0f045",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "dg-ga",
    "submitted_at": "1997-10-28T21:22:45Z",
    "title_canon_sha256": "7478717643c28bd02827e742cc57be8ba920bb3aea75d3c9c572c7d4df0155f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "dg-ga/9710030",
    "kind": "arxiv",
    "version": 1
  }
}