Pith Number

pith:N5ZC3W6P

pith:2009:N5ZC3W6P3FOBTUFRGK6NUEL4TT

not attested not anchored not stored refs pending

Representations up to homotopy of Lie algebroids

Camilo Arias Abad, Marius Crainic

arxiv:0901.0319 v2 · 2009-01-03 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5ZC3W6P3FOBTUFRGK6NUEL4TT}

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

2 papers in Pith

Hamilton Lie algebroids over Dirac structures and sigma models

Gauged Courant sigma models

Receipt and verification

First computed	2026-05-18T04:30:03.033074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f722ddbcfd95c19d0b132bcda117c9cde1ff9a513739c511542b987f2df1b53

Aliases

arxiv: 0901.0319 · arxiv_version: 0901.0319v2 · doi: 10.48550/arxiv.0901.0319 · pith_short_12: N5ZC3W6P3FOB · pith_short_16: N5ZC3W6P3FOBTUFR · pith_short_8: N5ZC3W6P

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/N5ZC3W6P3FOBTUFRGK6NUEL4TT \
  | 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: 6f722ddbcfd95c19d0b132bcda117c9cde1ff9a513739c511542b987f2df1b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90795b130bd2b58e199dc8282c693cd3010629811fb1910e0b6bec95c9fae4b4",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-01-03T13:01:48Z",
    "title_canon_sha256": "ef61c184791764e01f5f78651c343cf19f2ad0e20bdb73db5181c27090bc6320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0319",
    "kind": "arxiv",
    "version": 2
  }
}