Pith Number

pith:CCQ2A7UC

pith:2015:CCQ2A7UCJC53PON2EKC4VDA6YQ

not attested not anchored not stored refs pending

On the Geometry of Cotangent Bundles of Lie Groups

Bakary Manga

arxiv:1505.00375 v2 · 2015-05-02 · 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{CCQ2A7UCJC53PON2EKC4VDA6YQ}

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	2026-05-18T02:12:10.513683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a1a07e8248bbb7b9ba2285ca8c1ec432b50c2f43ad3467a5f6714b4f60c2c3

Aliases

arxiv: 1505.00375 · arxiv_version: 1505.00375v2 · doi: 10.48550/arxiv.1505.00375 · pith_short_12: CCQ2A7UCJC53 · pith_short_16: CCQ2A7UCJC53PON2 · pith_short_8: CCQ2A7UC

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/CCQ2A7UCJC53PON2EKC4VDA6YQ \
  | 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: 10a1a07e8248bbb7b9ba2285ca8c1ec432b50c2f43ad3467a5f6714b4f60c2c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fbd6db70f0e1d3d1a7f01b17b18d396c7a22d807e89f1134753c7213e77bdbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-02T22:13:38Z",
    "title_canon_sha256": "ac6b747198d28600413415df3d46c274bbc9f1d2f0ad91a64c45c55536ce1960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00375",
    "kind": "arxiv",
    "version": 2
  }
}