Pith Number

pith:7YC6YKA3

pith:2008:7YC6YKA3H35ACDTU54ZFKEMWIV

not attested not anchored not stored refs pending

Extensions of Lie-Rinehart algebras and cotangent bundle reduction

Johannes Huebschmann, Matthew Perlmutter, Tudor S. Ratiu

arxiv:0801.4099 v2 · 2008-01-26 · math.SG · 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{7YC6YKA3H35ACDTU54ZFKEMWIV}

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	2026-05-18T03:08:15.128025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe05ec281b3efa010e74ef32551196454564622a3579b0d0c9388388d618b342

Aliases

arxiv: 0801.4099 · arxiv_version: 0801.4099v2 · doi: 10.48550/arxiv.0801.4099 · pith_short_12: 7YC6YKA3H35A · pith_short_16: 7YC6YKA3H35ACDTU · pith_short_8: 7YC6YKA3

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/7YC6YKA3H35ACDTU54ZFKEMWIV \
  | 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: fe05ec281b3efa010e74ef32551196454564622a3579b0d0c9388388d618b342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6769c57ea1d51deceb3e0dabbcc61d741f5603032c3874ed2594cb70594dda9e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-01-26T21:19:57Z",
    "title_canon_sha256": "4f1d9056c64ad77cac02d1a458da8efb72fe292fb434a2ad320b12b123c2ea9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4099",
    "kind": "arxiv",
    "version": 2
  }
}