Pith Number

pith:C2L563ZF

pith:2013:C2L563ZFGSRG3G67RYDLMX7ULC

not attested not anchored not stored refs pending

Duality of singular paths for (2,3,5)-distributions

Goo Ishikawa, Wataru Yukuno, Yumiko Kitagawa

arxiv:1308.2501 v1 · 2013-08-12 · math.DG

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\usepackage{pith}
\pithnumber{C2L563ZFGSRG3G67RYDLMX7ULC}

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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

Prolongations of $(3, 6)$-distributions by singular curves

Receipt and verification

First computed	2026-05-18T03:16:07.196868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1697df6f2534a26d9bdf8e06b65ff458bcf1014cd271596902e7e4e7b641f7fd

Aliases

arxiv: 1308.2501 · arxiv_version: 1308.2501v1 · doi: 10.48550/arxiv.1308.2501 · pith_short_12: C2L563ZFGSRG · pith_short_16: C2L563ZFGSRG3G67 · pith_short_8: C2L563ZF

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/C2L563ZFGSRG3G67RYDLMX7ULC \
  | 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: 1697df6f2534a26d9bdf8e06b65ff458bcf1014cd271596902e7e4e7b641f7fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd8d3e03ac017cacc24ed70f924d44f3eb54016f516ed3330fb8e984e27b036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-12T09:23:52Z",
    "title_canon_sha256": "d07780f51f1f9832ea7c91ae887183eaccf4aa38b40bcd57c67622297580eb61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2501",
    "kind": "arxiv",
    "version": 1
  }
}