Pith Number

pith:XI3P5B6W

pith:2017:XI3P5B6WNPG7RCPZG4KPYLEZEL

not attested not anchored not stored refs pending

On the geometric notion of connection and its expression in tangent categories

Rory B. B. Lucyshyn-Wright

arxiv:1705.10857 v3 · 2017-05-30 · math.DG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XI3P5B6WNPG7RCPZG4KPYLEZEL}

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	2026-05-18T00:07:12.147784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba36fe87d66bcdf889f93714fc2c9922e3a3358f641df6fa99fb162c00d9fff9

Aliases

arxiv: 1705.10857 · arxiv_version: 1705.10857v3 · doi: 10.48550/arxiv.1705.10857 · pith_short_12: XI3P5B6WNPG7 · pith_short_16: XI3P5B6WNPG7RCPZ · pith_short_8: XI3P5B6W

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/XI3P5B6WNPG7RCPZG4KPYLEZEL \
  | 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: ba36fe87d66bcdf889f93714fc2c9922e3a3358f641df6fa99fb162c00d9fff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec5040ee1b08cd52f54e0ad051dcb2e91db896ab01a378932807aaca0c3a870",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-30T20:29:55Z",
    "title_canon_sha256": "09b90674fd5631823f8e9cd6b86b7625c2cc56734938a653bc4fcefe7ad5e38a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10857",
    "kind": "arxiv",
    "version": 3
  }
}