Pith Number

pith:LENS6SJE

pith:2013:LENS6SJECLVV5HG5CMDGFOYXEV

not attested not anchored not stored refs pending

Equivalence of the categories of modules over Lie algebroids

Yuji Hirota

arxiv:1303.5847 v2 · 2013-03-23 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LENS6SJECLVV5HG5CMDGFOYXEV}

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	2026-05-18T02:14:18.289088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591b2f492412eb5e9cdd130662bb1725609304b137b5a3a76af4d38d8500d558

Aliases

arxiv: 1303.5847 · arxiv_version: 1303.5847v2 · doi: 10.48550/arxiv.1303.5847 · pith_short_12: LENS6SJECLVV · pith_short_16: LENS6SJECLVV5HG5 · pith_short_8: LENS6SJE

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/LENS6SJECLVV5HG5CMDGFOYXEV \
  | 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: 591b2f492412eb5e9cdd130662bb1725609304b137b5a3a76af4d38d8500d558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f5d0316e4e4f220534e0b4aaa06ce624f3187352f19218bc845513968afa54b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-03-23T13:47:13Z",
    "title_canon_sha256": "1ae64d36335547a87810ae876197f33fed28c0ce711c64677d60e61ec1e235d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5847",
    "kind": "arxiv",
    "version": 2
  }
}