Pith Number

pith:C5EOM7IN

pith:2011:C5EOM7INH2RW56QUHER6NTQJ4B

not attested not anchored not stored refs pending

On a Lie Algebraic Characterization of Vector Bundles

Elie Zihindula Mushengezi, Pierre B.A. Lecomte, Thomas Leuther

arxiv:1109.4772 v2 · 2011-09-22 · 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{C5EOM7INH2RW56QUHER6NTQJ4B}

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	2026-05-18T04:03:54.318429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1748e67d0d3ea36efa143923e6ce09e0789f3bec1553172425942f1bb496fd32

Aliases

arxiv: 1109.4772 · arxiv_version: 1109.4772v2 · doi: 10.48550/arxiv.1109.4772 · pith_short_12: C5EOM7INH2RW · pith_short_16: C5EOM7INH2RW56QU · pith_short_8: C5EOM7IN

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/C5EOM7INH2RW56QUHER6NTQJ4B \
  | 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: 1748e67d0d3ea36efa143923e6ce09e0789f3bec1553172425942f1bb496fd32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1489aa030faec0ecf83a8bed0a73d982a11da6fb24766ad882e606ea507cd9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-22T11:18:04Z",
    "title_canon_sha256": "58da6ecf3c1fa4665506b63342e5fa5df0dfdc829b3bbeb9c2c449bcdc7f01c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4772",
    "kind": "arxiv",
    "version": 2
  }
}