Pith Number

pith:LHX7QDTE

pith:2015:LHX7QDTEM7JMZ3ZNSN3QX2ATGN

not attested not anchored not stored refs pending

Regular Cartan groupoids and longitudinal representations

Giorgio Trentinaglia

arxiv:1508.00489 v2 · 2015-08-03 · 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{LHX7QDTEM7JMZ3ZNSN3QX2ATGN}

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	2026-05-18T00:01:32.431581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59eff80e6467d2ccef2d93770be813335d4265c6f5eca4ac3807d72f678bc7c0

Aliases

arxiv: 1508.00489 · arxiv_version: 1508.00489v2 · doi: 10.48550/arxiv.1508.00489 · pith_short_12: LHX7QDTEM7JM · pith_short_16: LHX7QDTEM7JMZ3ZN · pith_short_8: LHX7QDTE

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/LHX7QDTEM7JMZ3ZNSN3QX2ATGN \
  | 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: 59eff80e6467d2ccef2d93770be813335d4265c6f5eca4ac3807d72f678bc7c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a522527a57991d887661dfdd42ae6ec831e9c4d3658420addee0f75f46e7f82d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-03T16:48:27Z",
    "title_canon_sha256": "b59cf4f2df34e6151741158ed011177b16618d3d98ebe3f3b939197423215801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00489",
    "kind": "arxiv",
    "version": 2
  }
}