Pith Number

pith:CZHN576F

pith:2025:CZHN576FT534E2QYNB4NXAWLQZ

not attested not anchored not stored refs pending

Important Classes of Morphisms and the Relative Cotangent Sequence in Tangent Categories

Geoff Vooys, Jean-Simon Pacaud Lemay

arxiv:2506.07874 v3 · 2025-06-09 · math.CT · math.AG · math.DG

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\usepackage{pith}
\pithnumber{CZHN576FT534E2QYNB4NXAWLQZ}

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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

1 paper in Pith

Ehresmann connections in tangent categories

Receipt and verification

First computed	2026-07-27T00:19:43.041793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164edeffc59f77c26a186878db82cb86744dca80ff3e5cf94f2f9fc99b354c3e

Aliases

arxiv: 2506.07874 · arxiv_version: 2506.07874v3 · doi: 10.48550/arxiv.2506.07874 · pith_short_12: CZHN576FT534 · pith_short_16: CZHN576FT534E2QY · pith_short_8: CZHN576F

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/CZHN576FT534E2QYNB4NXAWLQZ \
  | 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: 164edeffc59f77c26a186878db82cb86744dca80ff3e5cf94f2f9fc99b354c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79e4c5719fe1e289edd1d1570ed6f528b68b812342a92884bfeebeee3ac772cb",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-06-09T15:42:39Z",
    "title_canon_sha256": "5e82aacb9aa5953c77cd7e383cff2c9c9fa59acf026b007be6e6d919cf1547a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07874",
    "kind": "arxiv",
    "version": 3
  }
}